The Theory of Infinite Soluble Groups by John C. Lennox

The Theory of Infinite Soluble Groups

byJohn C. Lennox, Derek J. S. Robinson

Hardcover | April 7, 2005

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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 informationthat will be especially useful as a reference work for researchers in the field.

About The Author

John C. Lennox is a Research Fellow at Green College and Visiting Fellow, the Mathematical Institute, Oxford University. Derek J.S. Robinson is a Professor of Mathematics, University of Illinois, Urbana.

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Title:The Theory of Infinite Soluble GroupsFormat:HardcoverDimensions:458 pages, 9.21 × 6.14 × 0.93 inPublished:April 7, 2005Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198507283

ISBN - 13:9780198507284

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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