The Theory of Infinite Soluble Groups
Author:   John C. Lennox (, Research Fellow, Green College and Visiting Fellow, the Mathematical Institute, Oxford University) ,  Derek J. S. Robinson (, Professor of Mathematics, University of Illinois, Urbana, Illinois, USA)
Publisher:   Oxford University Press
ISBN:  

9780198507284


Pages:   360
Publication Date:   19 August 2004
Format:   Hardback
Availability:   To order   Availability explained
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The Theory of Infinite Soluble Groups


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Overview

The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, whilst remaining fairly strictly within the boundaries of soluble group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.

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Author:   John C. Lennox (, Research Fellow, Green College and Visiting Fellow, the Mathematical Institute, Oxford University) ,  Derek J. S. Robinson (, Professor of Mathematics, University of Illinois, Urbana, Illinois, USA)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.20cm , Height: 2.40cm , Length: 24.20cm
Weight:   0.730kg
ISBN:  

9780198507284


ISBN 10:   0198507283
Pages:   360
Publication Date:   19 August 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Introduction 1: Basic Results on Soluble and Nilpotent Groups 2: Nilpotent Groups 3: Soluble Linear Groups 4: The Theory of Finitely Generated Soluble Groups I 5: Soluble Groups of Finite Rank 6: Finiteness Conditions on Abelian Subgroups 7: The Theory of Finitely Generated Soluble Groups II 8: Centrality in Finitely Generated Soluble Groups 9: Algorithmic Theories of Finitely Generated Soluble Groups 10: Cohomological Methods in Infinite Soluble Group Theory 11: Finitely Presented Soluble Groups 12: Subnormality and Solubility Bibliography Index of Authors Index

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