The Tits alternative for non-spherical Pride groups

Details The Tits alternative for non-spherical Pride groups The Tits alternative for non-spherical Pride groups

2006-07-21

arxiv.org/abs/math/0607528v2

Mathematics

Group Theory

8 pages, 3 figures; minor changes; to appear in Bull. London Math. Society

Scientific paper

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.

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