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Titlebook: Essays in Group Theory; S. M. Gersten Book 1987 Springer-Verlag New York Inc. 1987 Group theory.algebra.group action.representation theory

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发表于 2025-3-21 19:02:43 | 显示全部楼层 |阅读模式
书目名称Essays in Group Theory
编辑S. M. Gersten
视频video
丛书名称Mathematical Sciences Research Institute Publications
图书封面Titlebook: Essays in Group Theory;  S. M. Gersten Book 1987 Springer-Verlag New York Inc. 1987 Group theory.algebra.group action.representation theory
描述.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.
出版日期Book 1987
关键词Group theory; algebra; group action; representation theory
版次1
doihttps://doi.org/10.1007/978-1-4613-9586-7
isbn_softcover978-1-4613-9588-1
isbn_ebook978-1-4613-9586-7Series ISSN 0940-4740
issn_series 0940-4740
copyrightSpringer-Verlag New York Inc. 1987
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Adian Groups and Pregroups,aper we give a geometric argument, using diagrams, to prove a result, due basically to O. A. Sarkisian, which says: If n > 1, and q. ∈ Q for i = 1,…,n, and if 1 = q.•q.…q. is true in G, the there exists i such that q.•q. ∈ Q. This gives a set of examples of a concept invented by Baer. related to pre
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Dendrology of Groups: An Introduction,ections of this theory with hyperbolic geometry and with W. Thurston’s theory of measured laminations. The picture has been developed further by the above-mentioned people and also by H. Bass, M. Bestvina, M. Culler, H. Gillet, M. Gromov, W. Parry, F. Rimlinger and J. Stallings, among others.
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Definitions and preliminary discussions,dard example of such a V is obtained as follows. Fix a finite presentation of Γ and let P be the 2-dimensional cell complex whose 1-cells correspond in the usual way to the generators and the 2-cells to the relations in Γ, such that π.(P) = Γ. Then embed P into ℝ. and take a regular neighborhood of P ⊂ ℝ. for V.
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Hyperbolic Groups,dard example of such a V is obtained as follows. Fix a finite presentation of Γ and let P be the 2-dimensional cell complex whose 1-cells correspond in the usual way to the generators and the 2-cells to the relations in Γ, such that π.(P) = Γ. Then embed P into ℝ. and take a regular neighborhood of P ⊂ ℝ. for V.
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