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How groups grow

Author: Avinoam Mann
Publisher: Cambridge : Cambridge University Press, 2012.
Series: London Mathematical Society lecture note series, 395.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Mann, Avinoam, 1937-
How groups grow.
Cambridge : Cambridge University Press, 2012
(OCoLC)774634114
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Avinoam Mann
ISBN: 9781139225021 1139225022 1139218506 9781139218504 9781139095129 1139095129 9781139221597 1139221590
OCLC Number: 776162766
Description: 1 online resource (ix, 199 pages) : illustrations.
Contents: 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.
Series Title: London Mathematical Society lecture note series, 395.
Responsibility: Avinoam Mann.

Abstract:

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

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'How Groups Grow is an excellent introduction to growth of groups for everybody interested in this subject. It also touches a variety of adjacent subjects (such as amenability, isoperimetric Read more...

 
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