How groups grow

＜図書＞
How groups grow

責任表示	Avinoam Mann
シリーズ	London Mathematical Society lecture note series ; 395
データ種別	図書
出版情報	Cambridge ; Tokyo : Cambridge University Press , 2012
本文言語	英語
大きさ	ix, 199 p. : ill. ; 23 cm
概要	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 Gr...mov 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 oh 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.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6832008 https://hdl.handle.net/2324/6865275

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
	: pbk	理系図3F 数理独自	MANN/7/1	2012		033212011006918		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. [187]-194) and index
著者標目	*Mann, Avinoam, 1937-
件　名	LCSH:Group theory
分　類	DC23:512.2
書誌ID	1001466012
ISBN	9781107657502
NCID	BB07830324
巻冊次	: pbk ; ISBN:9781107657502
NBN	015874688
登録日	2012.01.30
更新日	2017.02.18