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How groups grow

How groups grow

Material type
단행본
Personal Author
Mann, Avinoam, 1937-.
Title Statement
How groups grow / Avinoam Mann.
Publication, Distribution, etc
Cambridge, UK ;   New York :   Cambridge University Press,   2012.  
Physical Medium
ix, 199 p. : ill. ; 23 cm.
Series Statement
London mathematical society lecture note series ;395
ISBN
9781107657502 (pbk.) 1107657504 (pbk.)
Bibliography, Etc. Note
Includes bibliographical references (p. [187]-194) and index.
Subject Added Entry-Topical Term
Group theory.
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020 ▼a 9781107657502 (pbk.)
020 ▼a 1107657504 (pbk.)
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100 1 ▼a Mann, Avinoam, ▼d 1937-.
245 1 0 ▼a How groups grow / ▼c Avinoam Mann.
260 ▼a Cambridge, UK ; ▼a New York : ▼b Cambridge University Press, ▼c 2012.
300 ▼a ix, 199 p. : ▼b ill. ; ▼c 23 cm.
490 1 ▼a London mathematical society lecture note series ; ▼v 395
504 ▼a Includes bibliographical references (p. [187]-194) and index.
650 0 ▼a Group theory.
830 0 ▼a London Mathematical Society lecture note series ; ▼v 395.
945 ▼a KLPA

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/Western Books/ Call Number 512.2 M281h Accession No. 111688974 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Preface; 1. Introduction; 2. Some group theory; 3. Groups of linear growth; 4. The growth of nilpotent groups; 5. The growth of soluble groups; 6. Linear groups; 7. Asymptotic cones; 8. Groups of polynomial growth; 9. Infinitely generated groups; 10. Intermediate growth: Grigorchuk's first group; 11. More groups of intermediate growth; 12. Growth and amenability; 13. Intermediate growth and residual finiteness; 14. Explicit calculations; 15. The generating function; 16. The growth of free products; 17. Conjugacy class growth; Research problems; References.


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