Essays In Group Theory S.M. Gersten

ISBN: 9780387966182

Published:

Hardcover

342 pages


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Essays In Group Theory  by  S.M. Gersten

Essays In Group Theory by S.M. Gersten
| Hardcover | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 342 pages | ISBN: 9780387966182 | 4.61 Mb

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 Gromovs paper, one of the most significant in the field in the lastMoreEssays 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 Gromovs 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 Olshanskii 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. Gerstens 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. Shalens 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.



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