Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - October 1994 - Volume 37, Issue 03  

Research Article

The topology of graph products of groups

John Meiera1

a1 Department of Mathematics, Lafayette College, Easton, PA 18042, U.S.A. meierj@lafvax.lafayette.edu

Abstract

Given a finite (connected) simplicial graph with groups assigned to the vertices, the graph product of the vertex groups is the free product modulo the relation that adjacent groups commute. The graph product of finitely presented infinite groups is both semistable at infinity and quasi-simply filtrated. Explicit bounds for the isoperimetric inequality and isodiametric inequality for graph products is given, based on isoperimetric and isodiametric inequalities for the vertex groups.

(Received June 11 1993)