Theti Fixed-point property of random quotients by plain words

研究成果: Article査読

抄録

We show a fixed-point property of certain random groups for a wide class of CAT.0/ spaces. The model of random groups under consideration is given as the set of presentations .S;R/, where S is a generating set and the set of relations R is a subset of the set of all plain words of the same length with suitably fixed density. Our main theorem says that, with high probability, groups obtained by such presentations have the fixed-point property for all CAT.0/ spaces having bounded singularities.

本文言語English
ページ(範囲)1101-1140
ページ数40
ジャーナルGroups, Geometry, and Dynamics
8
4
DOI
出版ステータスPublished - 2014

ASJC Scopus subject areas

  • 幾何学とトポロジー
  • 離散数学と組合せ数学

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