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

2012/06/30 by Alan D. Logan · 1 citation
Mathematics · #math.GR #msc:20F28 #msc:20F65 #msc:20F67

paper · pdf · doi:10.1090/proc/13063

published as Proceedings of the American Mathematical Society 2016 144(10): 4135-4150 · 15 pages, final version. To appear in Proc. Amer. Math. Soc

arxiv created 2015/12/23 · arxiv updated 2018/10/25

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.

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• The word problem for two-generator one-relator inverse monoids