The JSJ-decompositions of one-relator groups with torsion

Abstract

In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.

21 pages, 2 figures. Final version

References in corpus (1)

• The isomorphism problem for all hyperbolic groups

Cited by in corpus (1)

• The Outer Automorphism Groups of Two-Generator One-Relator Groups with Torsion