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 |
| 巻 | 8 |
| 号 | 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