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Graph products of primary cyclic groups have unique presentations
by
David Radcliffe
University of Wisconsin - Milwaukee
Given a simplicial graph (possibly infinite) and an assignment of groups to the vertices, the graph product is the free product of the vertex groups, modulo relations which imply that adjacent groups commute. If each vertex group has order two, then the graph product is a right-angled Coxeter group.
I will prove that if a group can be represented as a graph product of cyclic groups of prime power order, then this representation is unique.
Date received: February 2, 2000
Copyright © 2000 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 # cady-29.