Essays in Group Theory / edited by S. M. Gersten
(Mathematical Sciences Research Institute Publications ; 8)
| データ種別 | 電子ブック |
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| 出版情報 | New York, NY : Springer New York , 1987 |
| 本文言語 | 英語 |
| 大きさ | VII, 342p. 46 illus : online resource |
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| 内容注記 | Affine Algebraic Sets and Some Infinite Finitely Presented Groups Reducible Diagrams and Equations Over Groups Hyperbolic Groups Dendrology of Groups: An Introduction Adian Groups and Pregroups |
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| 一般注記 | Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov`s paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers |
| 著者標目 | Gersten, S. M. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Group theory FREE:Mathematics FREE:Group Theory and Generalizations |
| 分 類 | DC23:512.2 |
| 巻冊次 | ISBN:9781461395867 
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| ISBN | 9781461395867 |
| URL | http://dx.doi.org/10.1007/978-1-4613-9586-7 |
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