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

Abstract

The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion. To this classification we apply recent algorithmic results of Dahmani--Guirardel, which yields an algorithm to compute the isomorphism class of the outer automorphism group of a given two-generator, one-relator group with torsion.

15 pages, final version. To appear in Proc. Amer. Math. Soc

References in corpus (2)

• The isomorphism problem for all hyperbolic groups
• The JSJ-decompositions of one-relator groups with torsion