The Tits alternative for non-spherical Pride groups
Copyright policy )The Tits alternative for non-spherical Pride groups
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.
8 pages, 3 figures; minor changes; to appear in Bull. London Math. Society
- Sobolev Institute of Mathematics Russian Federation
- University of Kent United Kingdom
- University of Essex United Kingdom
Secondary: 20E07, 20F05, 20F06, Primary: 20E05, FOS: Mathematics, QA Mathematics, Group Theory (math.GR), QA, Mathematics - Group Theory, Primary: 20E05; Secondary: 20E07, 20F05, 20F06, 510
Secondary: 20E07, 20F05, 20F06, Primary: 20E05, FOS: Mathematics, QA Mathematics, Group Theory (math.GR), QA, Mathematics - Group Theory, Primary: 20E05; Secondary: 20E07, 20F05, 20F06, 510
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