Proceedings of the second international conference on the theory of groups : Australian National University, August 13-24, 1973 / edited by M. F. Newman.

Format:

Book

Contributor:

Newman, M. F. (Michael Frederick), 1934- editor.

Series:

Lecture Notes in Mathematics, 0075-8434 ; 372

Language:

English

Subjects (All):

Group theory.

Group theory--Congresses.

Physical Description:

1 online resource (X, 746 p.)

Edition:

2nd ed. 1974.

Place of Publication:

Berlin, Germany ; New York, New York : Springer-Verlag, [1974]

Language Note:

English

Summary:

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."

Contents:

Periodic groups of odd exponent

Einbettungseigenschaften von Normalteilern: Der Schluss vom Endlichen aufs Unendliche

Characterisation of the groups with the Gaschütz cohomology property

Finitely presented metabelian groups

Some problems on one-relator groups

Computation in nilpotent groups (application)

Between logic and group theory

On the structure of blocks of characters of finite groups

Transitivity-systems of certain one-relator groups

Characteristic subgroups of free groups

Metabelian varieties of groups

Subdirect product closed fitting classes

On the rank of the intersection of subgroups of a fuchsian group

Subgroups of binary relations

The 2-adic representations of Klein's four group

A general purpose group theory program

On the modular representations of the general linear and symmetric groups

Words which give rise to another group operation for a given group

Classes of finite soluble groups

A note on blocks

The subgroup theorem for amalgamated free products, HNN-constructions and colimits

Linear representations over principal ideal domains

A property common to the Weyl and orthogonal groups

Primitive extensions of maximal diameter of multiply transitive permutation groups

Some characters of orthogonal groups over the field of two elements

Type sets and admissible multiplications

Power series and matrix representations of certain relatively free groups

The nilpotency class of finitely generated groups of exponent four

Hypocritical and sincere groups

Sylow subgroups of locally finite groups

A reidemeister-schreier program

Non-nilpotent groups with normalizer condition

The influence of 2-sylow intersections on the structure of finite simple groups

Rank four configurations

Some nonsimplicity criteria for finite groups

Free subgroups of free topological groups

Some questions in the theory of soluble groups

Locally finite simple groups

Normal subgroups of groups of prime-power order

Some related questions in the theory of groups and lie algebras

Hanna Neumann's problems on varieties of groups

Finite projective planes and sharply 2-transitive subsets of finite groups

Non Euclidean crystallographic groups

On subnormality in soluble minimax groups

Varieties generated by finite algebras

Computing with finite simple groups

Compact torsion groups

Braid groups: A survey

Two-bridge knots have residually finite groups

Periodic automorphisms of the two-generator free group

On groups of exponent four: A criterion for nonsolvability

The topology of free products of topological groups

Some groups I have known

Transitive permutation groups of prime degree

Ideals in the centre of a group ring

A non-distributive metabelian variety lattice

Polynomial maps

Über Erzeugende Ebener Diskontinuierlicher Gruppen

Contribution to the theory of abstract groups

Sylow subgroups of finite permutation groups

On the Nielsen equivalence of pairs of generators in certain HNN groups

The collineation groups of finite generalized hall planes

Abelian groups with self-injective endomorphism rings

Lattice isomorphisms and saturated formations of finite soluble groups

Some reflections on HNN extensions

Amalgames et points fixes

Geometric characterizations in finite group theory

Torsion-free metabelian groups with infinite cyclic quotient groups

On the lie ring of a group of prime exponent

Computation in nilpotent groups (theory)

On groups admitting an elementary Abelian automorphism group

Varieties described by verbal subgroups

A relation in free products

A note on subsoluble groups

On generalized soluble groups

Finite groups with sylow 2-subgroups of type the alternating group of degree sixteen

Problem section.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on print version record.

ISBN:

3-540-37801-4

3-662-21571-3

OCLC:

1080082912