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<図書>
Geometry of defining relations in groups

責任表示 by A. Yu. Ol'shanskii ; [translated by Yu. A. Bakhturin ; edited by D. Johnson]
シリーズ Mathematics and its applications ; . Soviet ser. ; v. 70
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1991
本文言語 英語
大きさ xxvi, 505 p. : ill. ; 25 cm
概要 The main feature of this book is a systematic application of elementary geometric and topological techniques for solving problems that arise naturally in algebra. After an account of preliminary mate...ial, there is a discussion of a geometrically intuitive interpretation of the derivation of consequences of defining relations of groups. A study is made of planar and certain other two-dimensional maps connected with well-known problems in general group theory, such as the problems of Burnside and O. Yu. Schmidt. The method of cancellation diagrams developed here is applied to these and to a series of other problems. This monograph is addressed to research workers and students in universities, and may be used as a basis for a series of specialized lectures or seminars. 続きを見る

所蔵情報


理系図3F 数理独自 068222194007726 OLSH/10/1 1991

書誌詳細

別書名 原タイトル:Геометрия определяющих соотношений в группах
一般注記 Translation of: Geometrii︠a︡ opredeli︠a︡i︠u︡shchikh sootnosheniĭ v gruppakh
Includes bibliography (p. 473-496) and indexes
著者標目 *Olʹshanskiĭ, A. I︠U︡. (Aleksandr I︠U︡rʹevich)
Johnson, D. J.
件 名 LCSH:Group theory
LCSH:Geometry
分 類 LCC:QA171
DC20:512/.2
書誌ID 1000033180
ISBN 0792313941
NCID BA13369018
巻冊次 ISBN:0792313941
登録日 2009.09.10
更新日 2009.11.02

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