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The Theory of Infinite Soluble Groups
     

The Theory of Infinite Soluble Groups

by John C. Lennox, Derek J. S. Robinson
 

ISBN-10: 0198507283

ISBN-13: 9780198507284

Pub. Date: 10/21/2004

Publisher: Oxford University Press

The central concept in this monograph is that of a soluable group - a group which is built up from abelian groups by repeatedly forming group extenstions. 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

Overview

The central concept in this monograph is that of a soluable group - a group which is built up from abelian groups by repeatedly forming group extenstions. 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, while remaining failry strictly within the boundaries of soluable 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.

Product Details

ISBN-13:
9780198507284
Publisher:
Oxford University Press
Publication date:
10/21/2004
Series:
Oxford Mathematical Monographs Series
Pages:
358
Product dimensions:
6.20(w) x 9.30(h) x 0.90(d)

Related Subjects

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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