The Theory of Infinite Soluble Groups

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

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
Pages:	360
Product dimensions:	6.20(w) x 9.30(h) x 0.90(d)

About the Author

Oxford University

University of Illinois, Urbana

Table of Contents

Introduction1. Basic Results on Soluble and Nilpotent Groups2. Nilpotent Groups3. Soluble Linear Groups4. The Theory of Finitely Generated Soluble Groups I5. Soluble Groups of Finite Rank6. Finiteness Conditions on Abelian Subgroups7. The Theory of Finitely Generated Soluble Groups II8. Centrality in Finitely Generated Soluble Groups9. Algorithmic Theories of Finitely Generated Soluble Groups10. Cohomological Methods in Infinite Soluble Group Theory11. Finitely Presented Soluble Groups12. Subnormality and SolubilityBibliographyIndex of AuthorsIndex