✦ LIBER ✦
Embedding theorems for non-positively curved polygons of finite groups
✍ Scribed by Tim Hsu; Daniel T. Wise
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 965 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
✦ Synopsis
The fundamental groups of complete squared complexes are a class of groups, some of which are not residually finite. A method is given for embedding the fundamental group of a complete squared complex as a subgroup of a square of finite groups, all of whose (Gersten-Stallings) vertex angles are _< ~r/2. It is also shown that every square of finite groups, all of whose vertex angles are <_ ~/2, can be embedded in a non-positively curved triangle of finite groups. In this way, a non-residually finite, non-positively curved triangle of finite groups is obtained. (~)