The Laci Kovács Archive (1936-2013)

Biography

Information about Laci Kovács can be found through the following links:

Collected works

The collected works of Laci Kovács are arranged chronologically below. You can quickly skip to a decade by using the links provided.

Below, BHN&HN stands for Selected works of B. H. Neumann and Hanna Neumann, The Charles Babbage Research Centre, Winnipeg, 1988.

1950s
1. A note on regular rings
Publ. Math. Debrecen 4 (1956) pp. 465--468
MR80086
2. On subgroups of the basic subgroup
Publ. Math. Debrecen 5 (1958) pp. 261--264
MR100628
1960s
3. Rings covered by minimal left ideals
with J. Szép
Publ. Math. Debrecen 7 (1960) pp. 194--197
MR120257
4. Groups with regular automorphisms of order four
Math. Z. 75 (1961) pp. 277--294
MR123613
5. Some Sylow subgroups
with B.H. Neumann and H. de Vries
Proc. Roy. Soc. London Ser. A 260 (1961) pp. 304--316
(reprinted in BHN&HN, 631–643)
MR167531
6. Direct complementation in groups with operators
with M.F. Newman
Arch. Math. 13 (1962) pp. 427--433
MR147564
7. On a paper by Ladislav Proházka
Czechosl. Math. J. 13 (88) (1963) pp. 612--618
MR158936
8. Admissible direct decompositions of direct sums of abelian groups of rank one
Publ. Math. Debrecen 10 (1963) pp. 254--263
MR169910
9. An embedding theorem for some countable groups
with B.H. Neumann
Acta Sci. Math. Szeged 26 (1965) pp. 139--142
(reprinted in BHN&HN, 1243–1246)
MR179259
10. On the existence of Baur-soluble groups of arbitrary height
with B.H. Neumann
Acta Sci. Math. Szeged 26 (1965) pp. 143--144
(reprinted in BHN&HN, 1247–1248)
MR179260
11. On products of normal subgroups
with Gilbert Baumslag and B.H. Neumann
Acta Sci. Math. Szeged 26 (1965) pp. 145--147
(reprinted in BHN&HN, 582–584)
MR179264
12. Minimal verbal subgroups
with M.F. Newman
Proc. Cambridge Philos. Soc. 62 (1966) pp. 347--350
MR210768
13. Cross varieties of groups
with M.F. Newman
Proc. Roy. Soc. London Ser. A 292 (1966) pp. 530--536
MR194505
14. Involutory automorphisms of groups of odd order and their fixed point groups
with G.E. Wall
Nagoya Math. J. 27 (1966) pp. 113--120
MR194504
15. On critical groups
with M.F. Newman
J. Austral. Math. Soc. 6 (1966) pp. 237--250
MR200337
16. Proceedings of the International Conference on the Theory of Groups held at the Australian National University, Canberra, 10-20 August 1965
editor, with B.H. Neumann
Gordon and Breach New York etc. (1967)
MR215897
17. Varieties and the Hall-Higman paper
Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ. Canberra, August 1965 Gordon and Breach New York etc. (1967) pp. 217--219
MR215901
18. Just non-Cross varieties
with M.F. Newman
Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ. Canberra, August 1965 Gordon and Breach New York etc. (1967) pp. 221--223
19. On the number of varieties of groups
J. Austral. Math. Soc. 8 (1968) pp. 444--446
MR229703
20. On finite soluble groups
Math. Z. 103 (1968) pp. 37--39
MR223458
21. Varieties of groups and Burnside’s problem
Bull. Amer. Math. Soc. 74 (1968) pp. 599--601
MR222143
22. Generating groups of nilpotent varieties
with M.F. Newman and P.F. Pentony
Bull. Amer. Math. Soc. 74 (1968) pp. 968--971
MR229702
23. A remark on critical groups
J. Austral. Math. Soc. 9 (1969) pp. 465--466
MR244359
24. The descending chain condition in join-continuous modular lattices
J. Austral. Math. Soc. 10 (1969) pp. 1--4
MR253950
25. Varieties and finite groups
J. Austral. Math. Soc. 10 (1969) pp. 5--19
MR248205
1970s
26. A finite basis theorem for product varieties of groups
with M.S. Brooks and M.F. Newman
Bull. Austral. Math. Soc. 2 (1970) pp. 39--44
MR266980
27. On soluble groups of prime-power exponent
with Warren Brisley
Bull. Austral. Math. Soc. 4 (1971) pp. 389--396
MR279187
28. On non-Cross varieties of groups
with M.F. Newman
J. Austral. Math. Soc. 12 (1971) pp. 129--144
MR292915
29. On finite groups with ‘hidden’ primes
with Joachim Neubüser and B.H. Neumann
J. Austral. Math. Soc. 12 (1971) pp. 287--300
(reprinted in BHN&HN, 694–707)
MR291272
30. A note on generalized characters
with R.M. Bryant
Bull. Austral. Math. Soc. 5 (1971) pp. 265--269
MR430044
31. A problem of Hanna Neumann on closed sets of group words
with M.R. Vaughan-Lee
Bull. Austral. Math. Soc. 5 (1971) pp. 341--342
MR294463
32. The skeleton of a variety of groups
with R.M. Bryant
Bull. Austral. Math. Soc. 6 (1972) pp. 357--378
MR306324
33. Tensor products of representations of finite groups
with R.M. Bryant
Bull. London Math. Soc. 4 (1972) pp. 133--135
MR314949
34. The presentation rank of a direct product of finite groups
with John Cossey and K.W. Gruenberg
J. Algebra 28 (1974) pp. 597--603
MR424969
35. Inaccessible varieties of groups
J. Austral. Math. Soc. 17 (1974) pp. 506--510
MR352262
36. Hanna Neumann’s problems on varieties of groups
with M.F. Newman
Proc. Second Internat. Conf. Theory of Groups, Canberra, August 1973 Springer-Verlag Berlin etc. (1974) pp. 417--431
MR352263
37. Lie representations and groups of prime power order
with R.M. Bryant
J. London Math. Soc. (2) 17 (1978) pp. 415--421
MR506776
38. Varieties of nilpotent groups of small class
Topics in Algebra Springer-Verlag Berlin etc. (1978) pp. 205--229
MR524372
39. The thirty-nine varieties
Math. Scientist 4 (1979) pp. 113--128
MR562000
1980s
40. Groups of prime power order with cyclic Frattini subgroup
with T.R. Berger and M.F. Newman
Nederl. Akad. Wetensch. Indag. Math. 42 (1980) pp. 13--18
MR565939
41. Classification theorems for torsionfree groups
The Santa Cruz Conference on Finite Groups Amer. Math. Soc. Providence (1980) pp. 225--228
MR604586
42. Maximal Frattini extensions
with John Cossey and O.H. Kegel
Arch. Math. 35 (1980) pp. 210--217
MR583592 DOI:10.1007/BF01235340
43. Some indecomposables for SL_2
(1981)
(Austral. Nat. Univ. MSRC Research Report 11-1981, 17 pp)
44. Periodicity of Weyl modules for SL(2,q)
with J. Alperin
J. Algebra 74 (1982) pp. 52--54
MR644217 DOI:10.1016/0021-8693(82)90004-7
45. Injectives in varieties of groups
with M.F. Newman
Alg. Univ. 14 (1982) pp. 398--400
MR654406 DOI:10.1007/BF02483941
46. The permutation lemma of Richard Brauer
Bull. London Math. Soc. 14 (1982) pp. 127--128
MR647194 DOI:10.1112/blms/14.2.127
47. Some Fitting formations of finite soluble groups
(1982)
(Austral. Nat. Univ. MSRC Research Report 37–1982, 9 pp)
48. Varieties of nilpotent groups of class four (I)
with Patrick Fitzpatrick
J. Austral. Math. Soc. 35 (1983) pp. 59--73
MR697657 DOI:10.1017/S1446788700024770
49. Pure subgroups of nonabelian groups
with A. Kertész and B.H. Neumann
Publ. Math. Debrecen 30 (1983) pp. 1--30
(reprinted in BHN&HN, 708–737)
MR733068
50. Distinguishing eleven crossing knots
with George Havas
Computational group theory Academic Press London (1984) pp. 365--373
(Austral. Nat. Univ. MSRC Research Report 34–1982)
MR760671
51. On normal subgroups which are direct products
with Fletcher Gross
J. Algebra 90 (1984) pp. 133--168
MR757086 DOI:10.1016/0021-8693(84)90203-5
52. A non-extendible abstract kernel
(1984)
(Austral. Nat. Univ. MSRC Research Report 23–1984, 3 pp, published as 105)
MR2031326
53. On the first cohomology of a finite group with coefficients in a simple module
(1984)
(Austral. Nat. Univ. MSRC Research Report 43–1984, 26 pp)
54. Two results on wreath products
Arch. Math. 45 (1985) pp. 111--115
MR807442 DOI:10.1007/BF01270481
55. Fixed-point-free permutations in transitive permutation groups of prime-power order
with Peter J. Cameron, M.F. Newman, and Cheryl E. Praeger
Quarterly J. Math. Oxford (2) 36 (1985) pp. 273--278
MR800760 DOI:10.1093/qmath/36.3.273
56. On rings assigned to varieties of groups or rings
(1985)
(Austral. Nat. Univ. MSRC Research Report 40–1985, 8 pp)
57. Some normally monomial p-groups of maximal class and large derived length
with C.R. Leedham-Green
Quarterly J. Math. Oxford (2) 37 (1986) pp. 49--54
(Austral. Nat. Univ. MSRC Research Report 5–1985)
MR830629 DOI:10.1093/qmath/37.1.49
58. Maximal subgroups in composite finite groups
J. Algebra 99 (1986) pp. 114--131
(Austral. Nat. Univ. MSRC Research Report 18–1984)
MR836637 DOI:10.1016/0021-8693(86)90058-X
59. On the first cohomology of a group with coefficients in a simple module
with R.B. Howlett
J. Algebra 99 (1986) pp. 518--519
MR837560 DOI:10.1016/0021-8693(86)90043-8
60. Two results on wreath products: corrigendum and addendum
Arch. Math. 47 (1986) pp. 309--311
(Austral. Nat. Univ. MSRC Research Report 45–1985)
MR866517 DOI:10.1007/BF01191355
61. Absolute subretracts and weak injectives in congruence-modular varieties
with Brian A. Davey
Trans. Amer. Math. Soc. 297 (1986) pp. 181--196
MR849474 DOI:10.2307/2000463
62. Bisection of a quadrilateral by a line through a vertex
with J.C. Burns
Function 11 (1987) pp. 130--139
(Royal Military College Duntroon Mathematics Department Report 4/85)
63. Some representations of special linear groups
The Arcata Conference on Representations of Finite Groups, Pt 2, Proc. Symposia in Pure Math. 47 Amer. Math. Soc. Providence (1987) pp. 207--218
MR933413
64. On the Jordan-Hölder Theorem
with M.F. Newman
(1987)
(Austral. Nat. Univ. MSRC Research Report 11–1987, 7 pp)
65. Generating transitive permutation groups
with M.F. Newman
Quarterly J. Math. Oxford (2) 39 (1988) pp. 361--372
MR957277 DOI:10.1093/qmath/39.3.361
66. Primitive permutation groups of simple diagonal type
Israel J. Math. 63 (1988) pp. 119--127
MR959051 DOI:10.1007/BF02765024
67. Some theorems on wreath products
Publ. Math. Debrecen 35 (1988) pp. 155--160
MR971963
68. Groups with uniform automorphisms
Rend. Circ. Mat. Palermo (2) Suppl. 19 (1988) pp. 125--133
MR988194
69. Primitive subgroups of wreath products in product action
Proc. London Math. Soc. (3) 58 (1989) pp. 306--322
(Austral. Nat. Univ. MSRC Research Report 41–1987)
MR977479 DOI:10.1112/plms/s3-58.2.306
70. Finite permutation groups with large abelian quotients
with Cheryl E. Praeger
Pacific J. Math 136 (1989) pp. 283--292
(Austral. Nat. Univ. MSRC Research Report 13–1987)
MR978615
71. The minimal number of generators of wreath products of nilpotent groups
with K. Buzási
Contemporary Math. 93 (1989) pp. 115--121
(Austral. Nat. Univ. MSRC Research Report 42–1987)
MR1003346 DOI:10.1090/conm/093/1003346
72. Wreath decompositions of finite permutation groups
Bull. Austral. Math. Soc. 40 (1989) pp. 255--279
(Austral. Nat. Univ. MSRC Research Report 11–1989)
MR1012834 DOI:10.1017/S0004972700004366
73. Free groups in a dihedral variety
Proc. R. Ir. Acad. 89A (1989) pp. 115--117
(Austral. Nat. Univ. MSRC Research Report 28–1988)
MR1021229
74. Finite primitive groups with a single non-abelian regular normal subgroup
with P. Förster
(1989)
(Austral. Nat. Univ. MSRC Research Report 17–1989, 20 pp)
1990s
75. On a problem of Wielandt on finite permutation groups
with P. Förster
J. London Math. Soc. (2) 41 (1990) pp. 231--243
(Austral. Nat. Univ. MSRC Research Report 29–1988)
MR1067264 DOI:10.1112/jlms/s2-41.2.231
76. On tensor induction of group representations
J. Austral. Math. Soc. Ser. A 49 (1990) pp. 486--501
(Austral. Nat. Univ. Math. Research Report SMS–007–90)
MR1074515
77. Groups --- Canberra 1989
editor
Springer-Verlag Berlin etc. (1990)
MR1092217 DOI:10.1007/BFb0100725
78. Generating finite completely reducible linear groups
with Geoffrey R. Robinson
Proc. Amer. Math. Soc. 112 (1991) pp. 357--364
(Austral. Nat. Univ. Math. Research Report SMS–008–90)
MR1047004 DOI:10.2307/2048727
79. Generating finite soluble groups
with Hyo-Seob Sim
Indag. Math. N.S. 2 (1991) pp. 229--232
(Austral. Nat. Univ. Math. Research Report SMS–069–90)
MR1123364 DOI:10.1016/0019-3577(91)90009-V
80. Homology of free abelianized extensions of groups
with Yu.V. Kuzmin and Ralph Stöhr
Math. USSR Sbornik 72 (1992) pp. 503--518
(Austral. Nat. Univ. Math. Research Report SMS–002–91)
MR1119007
81. Semigroup algebras of the full matrix semigroup over a finite field
Proc. Amer. Math. Soc. 116 (1992) pp. 911--919
(Austral. Nat. Univ. Math. Research Report SMS–022–91)
MR1123658 DOI:10.2307/2159467
82. Generating finite nilpotent irreducible linear groups
with J.D. Dixon
Quarterly J. Math. Oxford (2) 44 (1993) pp. 1--15
(Austral. Nat. Univ. Math. Research Report SMS–064–91)
MR1206200 DOI:10.1093/qmath/44.1.1
83. On the number of conjugacy classes of a finite group
with Geoffrey R. Robinson
J. Algebra 160 (1993) pp. 441--460
(Austral. Nat. Univ. Math. Research Report SMS–068–91)
MR1244923 DOI:10.1006/jabr.1993.1196
84. Notes on minimal faithful permutation representations of finite groups
with Cheryl E. Praeger
(1993)
(Austral. Nat. Univ. Math. Research Report SMS–117–93, 6 pp)
85. Unitary units in modular group algebras
with Victor Bovdi
Manuscripta Math. 84 (1994) pp. 57--72
(Austral. Nat. Univ. Math. Research Report SMS–132–93)
MR1283327 DOI:10.1007/BF02567443
86. Some tensor-indecomposable modular group algebras
with Karin Erdmann
(1994)
(Austral. Nat. Univ. Math. Research Report MRR 060–1994, 4 pp)
87. A projective geometry problem related to tensor factorizations of group algebras
Proc. 12th Annual Victorian Algebra Conf., September 26–27, 1994, ed. Deborah C. Jackson Swinburne University of Technology (1995) pp. 17--21
(Austral. Nat. Univ. Math. Research Report MRR 061–94)
88. Transitive permutation groups and irreducible linear groups
with R.M. Bryant and Geoffrey R. Robinson
Quarterly J. Math. Oxford (2) 46 (1995) pp. 385--407
(Austral. Nat. Univ. Math. Research Report SMS–113–93)
MR1366612 DOI:10.1093/qmath/46.4.385
89. Tensor factorizations of group algebras and modules
with Jon F. Carlson
J. Algebra 175 (1995) pp. 385--407
(Austral. Nat. Univ. Math. Research Report MRR 017–94)
MR1338985 DOI:10.1006/jabr.1995.1193
90. Growth of varieties of groups and group representations, and the Gelfand-Kirillov dimension
with Samuel M. Vovsi
J. Algebra 177 (1995) pp. 493--510
(Austral. Nat. Univ. Math. Research Report MRR 018–94)
MR1355212 DOI:10.1006/jabr.1995.1309
91. Torsionfree varieties of metabelian groups
with M.F. Newman
Infinite Groups 1994 de Gruyter Berlin New York (1995) pp. 125--128
(Austral. Nat. Univ. Math. Research Report MRR 019–94)
MR1477169
92. Finite groups with trivial multiplicator and large deficiency
Groups – Korea ’94 de Gruyter Berlin New York (1995) pp. 211--225
(Austral. Nat. Univ. Math. Research Report MRR 009–95)
MR1476962
93. Nilpotent metacyclic irreducible linear groups of odd order
with Hyo-Seob Sim
Arch. Math. 65 (1995) pp. 281--288
(Austral. Nat. Univ. Math. Research Report MRR 011–95)
MR1349181 DOI:10.1007/BF01195538
94. Symmetric units in modular group algebras
with Victor Bovdi and S.K. Sehgal
Commun. Algebra 24 (1996) pp. 803--808
(Austral. Nat. Univ. Math. Research Report MRR 023–95)
MR1374635 DOI:10.1080/00927879608825601
95. Irreducible modules and normal subgroups of prime index
with S.P. Glasby
Commun. Algebra 24 (1996) pp. 1529--1546
(Austral. Nat. Univ. Math. Research Report MRR 039–95)
MR1380609 DOI:10.1080/00927879608825650
96. A problem of Grätzer and Wehrung on groups
with B.H. Neumann and M.F. Newman
Southeast Asian Bulletin of Mathematics 22 (1998) pp. 155--156
(Austral. Nat. Univ. Math. Research Report MRR 011–98)
MR1684226
97. Module structure of the free Lie ring on three generators
with Ralph Stöhr
Arch. Math. 73 (1999) pp. 182--185
(Manchester Centre for Pure Mathematics preprint 1998/9)
MR1705012 DOI:10.1007/s000130050025
98. Free Lie algebras as modules for symmetric groups
with R.M. Bryant and Ralph Stöhr
J. Austral. Math. Soc. Ser. A 67 (1999) pp. 143--156
(Austral. Nat. Univ. Math. Research Report MRR 99-003)
MR1717410 DOI:10.1017/S1446788700001130
99. Proficient presentations and direct products of finite groups
with K.W. Gruenberg
Bull. Austral. Math. Soc. 60 (1999) pp. 177--189
(Austral. Nat. Univ. Math. Research Report MRR 99–004)
MR1711950 DOI:10.1017/S0004972700036315
2000s
100. Lie powers of the natural module for GL(2)
with Ralph Stöhr
J. Algebra 229 (2000) pp. 435--462
(Austral. Nat. Univ. Math. Research Report MRR 035–98)
MR1769283 DOI:10.1006/jabr.1998.7904
101. On minimal faithful permutation representations of finite groups
with Cheryl E. Praeger
Bull. Austral. Math. Soc. 62 (2000) pp. 311--317
MR1786214 DOI:10.1017/S0004972700018797
102. Lie powers of modules for groups of prime order
with R.M. Bryant and Ralph Stöhr
Proc. London Math. Soc. (3) 84 (2002) pp. 343--374
(Manchester Centre for Pure Mathematics preprint 2000/13)
MR1881395 DOI:10.1112/plms/84.2.343
103. Invariant bases for free Lie rings
with R.M. Bryant and Ralph Stöhr
Quart. J. Math. 53 (2002) pp. 1--17
(Manchester Centre for Pure Mathematics preprint 2001/11)
MR1887666 DOI:10.1093/qjmath/53.1.1
104. Lie powers of modules for GL(2,p)
with R.M. Bryant and Ralph Stöhr
J. Algebra 260 (2003) pp. 617--630
MR1967314 DOI:10.1016/S0021-8693(03)00050-4
105. A non-extendable abstract kernel
Illinois J. Math. 47 (2003) pp. 327--328
MR2031326
106. On Lie powers of regular modules in characteristic 2
with Ralph Stöhr
Rend. Sem. Mat. Univ. Padova 112 (2004) pp. 41--69
MR2109951
107. On the orders of conjugacy classes in group algebras of p-groups
with A. Bovdi and S. Mihovski
J. Austral. Math. Soc. 77 (2004) pp. 185--189
MR2083743 DOI:10.1017/S1446788700013562
108. Infinite rank integral representations of groups and orders of finite lattice type
with M.R.C. Butler and J.M. Campbell
Arch. Math. 83 (2004) pp. 297--308
(Austral. Nat. Univ. Math. Research Report MRR 03–008)
MR2096802 DOI:10.1007/s00013-004-1074-3
109. On central Frattini extensions of finite groups
Publ. Math. Debrecen 67 (2005) pp. 493--497
MR2162139
110. Subalgebras of free restricted Lie algebras
with R.M. Bryant and Ralph Stöhr
Bull. Austral. Math. Soc. 72 (2005) pp. 147--156
MR2162300 DOI:10.1017/S0004972700034936
111. A combinatorial proof of Klyachko’s Theorem on Lie representations
with Ralph Stöhr
J. Algebraic Combin. 23 (2006) pp. 225--230
MR2228926 DOI:10.1007/s10801-006-7394-6
2010s
112. Lie powers of relation modules for groups
with Ralph Stöhr
J. Algebra 326 (2011) pp. 192--200
(Manchester Institute for Mathematical Sciences EPrint 2008.117)
MR2746059 DOI:10.1016/j.jalgebra.2009.10.007
113. Metabelian Lie powers of the natural module for a general linear group
with Karin Erdmann
J. Algebra 352 (2012) pp. 232--267
MR2862185 DOI:10.1016/j.jalgebra.2011.11.021
114. Free centre-by-metabelian Lie algebras in characteristic 2
with Ralph Stöhr
Bull. London Math. Soc. 46 (2014) pp. 491--502
(Manchester Institute for Mathematical Sciences EPrint 2013.19)
MR3210704 DOI:10.1112/blms/bdu011

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