Essays in group theory

書誌事項

Essays in group theory

S.M. Gersten, editor

(Mathematical Sciences Research Institute publications, 8)

Springer, c1987

  • : us
  • : gw

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注記

Includes bibliographies

内容説明・目次

内容説明

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 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.

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詳細情報
  • NII書誌ID(NCID)
    BA01140960
  • ISBN
    • 0387966188
    • 3540966188
  • LCCN
    87024336
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York ; Berlin ; Tokyo
  • ページ数/冊数
    342 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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