View Related Documents

Abstract

A class of groups, called picture groups, is defined. Richard Thompsonrsquos groups F, T, and V are all picture groups. Each picture group is shown to act properly and isometrically on a CAT(0) cubical complex. In particular, all picture groups are a-T-menable.

Keywords  CAT(0) cubical complexes - diagram groups - picture groups - Thompsonrsquos groups a-T-menability - Haagerup property

Mathematics Subject Classifications (2000). 20F65, 43A15.

Fulltext Preview

Image of the first page of the fulltext document