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The Theory of Infinite Soluble Groups : Oxford Mathematical Monographs - John C. Lennox

The Theory of Infinite Soluble Groups

Oxford Mathematical Monographs

Hardcover Published: 1st September 2004
ISBN: 9780198507284
Number Of Pages: 360

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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.

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

ISBN: 9780198507284
ISBN-10: 0198507283
Series: Oxford Mathematical Monographs
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 360
Published: 1st September 2004
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.2 x 16.2  x 2.4
Weight (kg): 0.74

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