How Groups Grow / (Record no. 41339)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02213nam a22003738a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781139095129 (ebook) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | n/a |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Mann, Avinoam, |
| 245 10 - TITLE STATEMENT | |
| Title | How Groups Grow / |
| Statement of responsibility, etc | Avinoam Mann. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (210 pages) : |
| Other physical details | digital, PDF file(s). |
| 490 0# - SERIES STATEMENT | |
| Series statement | London Mathematical Society Lecture Note Series ; |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Growth of groups is an innovative new branch of group theory. This is the first book to introduce the subject from scratch. It begins with basic definitions and culminates in the seminal results of Gromov and Grigorchuk and more. The proof of Gromov's theorem on groups of polynomial growth is given in full, with the theory of asymptotic cones developed on the way. Grigorchuk's first and general groups are described, as well as the proof that they have intermediate growth, with explicit bounds, and their relationship to automorphisms of regular trees and finite automata. Also discussed are generating functions, groups of polynomial growth of low degrees, infinitely generated groups of local polynomial growth, the relation of intermediate growth to amenability and residual finiteness, and conjugacy class growth. This book is valuable reading for researchers, from graduate students onward, working in contemporary group theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group theory |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9781139095129 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 2011. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK12045 | http://dx.doi.org/10.1017/CBO9781139095129 | E-BOOKS |