Groups St Andrews 2005. Volume 2 / edited by C. M. Campbell [and three others].

Format:

Book

Contributor:

Campbell, C. M., 1942- editor.

Series:

London Mathematical Society lecture note series ; 340.

London Mathematical Society lecture note series ; 340

Language:

English

Subjects (All):

Group theory--Congresses.

Group theory.

Physical Description:

1 online resource (x, pages 358-701) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2007.

Language Note:

English

Summary:

'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions by John Meakin (Lincoln, Nebraska) and Ákos Seress (Ohio State). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 25 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important.

Contents:

Cover; Title; Copyrights; Contents of Volume 2; Contents of Volume 1; Introduction; Groups and Semigroups: Connections and Contrasts; 1 Introduction; 2 Submonoids of Groups; 3 Regular and Inverse Monoids; 4 Free Inverse Monoids, Equations; 5 Subgroups of Free Groups and Closed Inverse Submonoids of Free Inverse Monoids; 6 Finite Inverse Monoids and Infinite Groups; 7 Presentations of Inverse Monoids; 8 Acknowledgements; References; Toward the Classification of s-arc Transitive Graphs; 1 Introduction; 2 Local analysis; 3 Global analysis; References

Non-Cancellation Group Computation for some Finitely Generated Nilpotent Groups1 Introduction; 2 Some properties of the groups; 3 Non-cancellation group (Mislin genus); References; Permutation and Quasi-Permutation Representations of the Chevalley Groups; 1 Introduction; 2 Chevalley groups; 3 Algorithms for r(G), c(G) and q(G); 4 Permutation representation; References; The Shape of Solvable Groups with Odd Order; 1 Introduction; 2 Solvable groups; 3 Examples; References; Embedding in Finitely Presented Lattice-Ordered Groups: Explicit Presentations for Constructions; 1 Introduction

2 Background and notation3 Proof of Theorem A; 4 Proof of Theorem B; 5 Theorem C; References; A Note on Abelian Subgroups of p-Groups; 1 Introduction; 2 Ideas in proofs; 3 Open questions; References; On Kernel Flatness; 1 Introduction; 2 Preliminaries; 3 Results; References; On Proofs in Finitely Presented Groups; 1 Introduction; 2 Coset enumeration; 3 Proof certificates; 4 Pruned enumeration; 5 Some Fibonacci groups; 5.1 F(2, 5); 5.2 F(3, 5); 5.3 F(2, 7); 6 The trivial group; 6.1 E1 and 2-generator subgroups; 6.2 E1 and cyclic subgroups; 6.3 Proof variability

6.4 E1 over the trivial subgroup7 Conclusions; References; Computing with 4-Engel Groups; 1 Introduction; 2 4-Engel 5-groups; 3 4-Engel p-groups; theory; 4 4-Engel p-groups; coset enumerations; 5 Proving T nilpotent; References; On the Size of the Commutator Subgroup in Finite Groups; 1 Introduction; 2 Groups with Φ(G) = Z(G) = 1; 3 Omitting the condition Φ(G) = 1; 4 Factors and subgroups of non-nilpotent groups; References; Groups of Infinite Matrices; Introduction; Proofs of main results; References; Triply Factorised Groups and Nearrings; 1 Introduction; 1.1 Radical rings

1.2 A connection between certain triply factorised groups and radical rings2 Nearrings; 2.1 A connection between triply factorised groups and nearrings; 3 Nearrings with non-abelian construction subgroups; 4 More on nearrings; 4.1 Prime rings; 4.2 Local nearrings whose groups of units are dihedral; References; On the Space of Cyclic Trigonal Riemann Surfaces of Genus 4; 1 Introduction; 2 Trigonal Riemann surfaces and Fuchsian groups; 3 Non-unique cyclic trigonal morphisms on Riemann surfaces; 4 Appendix: Groups of order 36 and 72; References; On Simple Kn-Groups for n = 5, 6; 1 Introduction

2 Simple K5-groups

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-139-88266-X

1-107-36784-0

1-107-37238-0

1-107-36293-8

1-107-36863-4

1-299-40544-4

1-107-36538-4

0-511-72120-X

OCLC:

843203446