Diagrammatically regular polygons of finite groups and surface subgroups
by
Paul Brown
University of Ill. Chicago

A polygon of finite groups is diagrammatically regular (DR) if the polygonal commutative diagram has an even number of sides and exhibits a dihedral symmetry of groups and morphisms. (DR polygons of groups have been appeared in work of Benakli, of Bourdon, and recently, of Paulin.) A DR polygon of finite groups contains a truly obvious torsion free subgroup of finite index, and I will give some local conditions which guarantee that this subgroup is generated by a finite collection of surface subgroups of the polygon of groups.

Date received: May 7, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cabb-45.