Proceedings of the Second International Conference on the Theory of Groups: Australian National University, August 13-24, 1973M.F. Newman Springer, 11 de des. 2013 - 740 pàgines Annotation This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems. The manuscripts were typed by Mrs Geary, the bulk of the bibliographie work was done by Mrs Pinkerton, and a number of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, Pride, Rangaswamy and Stewart. I here reeord my thanks to all these people for their lightening of the editorial burden. M.F. Newrnan CONTENTS 1 Introduction . . 8 yan, Periodic groups of odd exponent Reinhold Baer, Einbettungseigenschaften von Normalteilern: der Schluss vom 13 Endlichen aufs Unendliche D.W. Barnes, Characterisation of the groups with the Gaschutz cohomology property 63 Gi Ibert Baumslag, Finitely presented metabe1ian groups 65 Gi Ibert Baumslag, Some problems on one-relator groups 75 A.J. Ba, J. Kautsky and J.W. Wamsley, Computation in nilpotent groups (application) 82 Wi I I iam W. Boone, Between logic and group theory 90 Richard Brauer, On the structure of blocks of characters of finite groups 103 A.M. Brunner, Transitivity-systems of certain one-relator groups 131 Egg8r M. Bryant, Characteristic subgroups of free groups 141 y, Metabe1ian varieties of groups 150 R.A. Bryce and John Cossey, Subdirect product c10sed Fitting c1asses 158 R.G." |
Continguts
8 | |
W Barnes Characterisation of the groups with the Gaschütz cohomology | 63 |
Gilbert Baumslag Some problems on onerelator groups | 75 |
A J Bayes J Kautsky and J W Wamsley Computation in nilpotent groups | 82 |
William W Boone Between logic and group theory | 90 |
Richard Brauer On the structure of blocks of characters of finite groups | 103 |
Brunner Transitivitysystems of certain onerelator groups | 131 |
Bryant Characteristic subgroups of free groups | 141 |
Kim KiHang Butler Subgroups of binary relations | 188 |
John Cannon A general purpose group theory program | 204 |
R W Carter and G Lusztig On the modular representations of the general | 218 |
John Cossey Classes of finite soluble groups | 226 |
John Cossey and Wolfgang Gaschütz A note on blocks | 238 |
Dixon Linear representations over principal ideal domains | 281 |
Hikoe Enomoto Primitive extensions of maximal diameter of multiply transitive | 288 |
J S Frame Some characters of orthogonal groups over the field of two elements | 298 |
R A Bryce Metabelian varieties of groups | 150 |
R A Bryce and John Cossey Subdirect product closed Fitting classes | 158 |
R G Burns On the rank of the intersection of subgroups of a Fuchsian group | 165 |
B J Gardner Type sets and admissible multiplications | 315 |
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abelian group abelsche Algebra Amer Austral automorphism Baumslag braid groups CANBERRA characters commutator CONF conjugacy conjugate contains Corollary coset cyclic groups defect group defining relations denote doubly transitive elements endlich erzeugbar endlichen Epimorphismus von G exists factor fast polyzyklisch finitely presented Fitting class folgt follows free group free product G auf H G₂ gibt graph group G group of exponent group theory groupnet Gruppe H₂ Hanna Neumann Hence HNN extension homomorphism homotopy infinite integer irreducible isomorphic Karrass Lemma Let G locally finite groups London Math matrix metabelian groups minimaler Normalteiler modulo morphism Neumann nilpotent groups normal subgroup p-group pairs permutation groups polynomial prime problem Proc PROOF prove quotient representation result ring Satz SECOND INTERNAT serial subgroups simple groups soluble groups Sophie Piccard subgroup of G subset Suppose Sylow p-subgroup Theorem THEORY OF GROUPS topological group trivial