The outer automorphism groups of two-generator, one-relator groups with torsion

Logan, Alan

doi:10.1090/proc/13063

The outer automorphism groups of two-generator, one-relator groups with torsion
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by Alan D. Logan

Proc. Amer. Math. Soc. 144 (2016), 4135-4150

DOI: https://doi.org/10.1090/proc/13063

Published electronically: April 25, 2016

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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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