The Tits alternative for non-spherical Pride groups
Group Theory
2014-02-26 v2
Abstract
Pride groups, or ``groups given by presentations in which each defining relator involves at most two types of generators'', include Coxeter groups, Artin groups, triangles of groups, and Vinberg's groups defined by periodic paired relations. We show that every non-spherical Pride group that is not a triangle of groups satisfies the Tits alternative.
Cite
@article{arxiv.math/0607528,
title = {The Tits alternative for non-spherical Pride groups},
author = {Natalia Kopteva and Gerald Williams},
journal= {arXiv preprint arXiv:math/0607528},
year = {2014}
}
Comments
8 pages, 3 figures; minor changes; to appear in Bull. London Math. Society