How groups grow

by Mann, Avinoam

Type Book

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The first book to develop from the basics, with full proofs, the cutting-edge of Group Theory: the growth of groups.

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Title Statements

Full title :How groups grow / Avinoam Mann.

Summary

The first book to develop from the basics, with full proofs, the cutting-edge of Group Theory: the growth of groups.

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2012.

The Physical Object

Description:1 online resource (ix, 199 pages) : : illustrations

Edition Identifiers

ISBN:9781139225021, 1139225022, 1139218506, 9781139218504, 9781139095129, 1139095129, 9781139221597, 1139221590, 1139248715, 9781139248716, 1107232392, 9781107232396, 1280485507, 9781280485503, 1139223305, 9781139223300, 9786613580481, 6613580481, 1139215418, 9781139215411
oclc:ocn776162766
LC Classification:QA174.2
Dewey Decimal:512.2

Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Contents; Preface; 1 Introduction; 2 Some Group Theory; 2.1 Finite Index Subgroups; 2.2 Growth; 2.3 Soluble and Polycyclic Groups; 2.4 Nilpotent Groups; 2.5 Isoperimetric Inequalities; 3 Groups of Linear Growth; 3.1 Linear Growth; 3.2 Linear Growth Functions; 4 The Growth of Nilpotent Groups; 4.1 Polynomial Growth of Nilpotent Groups; 4.2 Groups of Small Degree; 5 The Growth of Soluble Groups; 5.1 Soluble Groups of Polynomial Growth; 5.2 Uniform Exponential Growth of Soluble Groups; 6 Linear Groups; 7 Asymptotic Cones.