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


Author: Alan D. Logan
Journal: Proc. Amer. Math. Soc. 144 (2016), 4135-4150
MSC (2010): Primary 20F28, 20E99; Secondary 20F65, 20F67
DOI: https://doi.org/10.1090/proc/13063
Published electronically: April 25, 2016
MathSciNet review: 3531167
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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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Additional Information

Alan D. Logan
Affiliation: School of Mathematics and Statistics, University of Glasgow, University Gardens, G12 8QW, Scotland
Email: Alan.Logan@glasgow.ac.uk

DOI: https://doi.org/10.1090/proc/13063
Keywords: One-relator groups, outer automorphism groups, Nielsen equivalence
Received by editor(s): March 31, 2015
Received by editor(s) in revised form: December 11, 2015
Published electronically: April 25, 2016
Communicated by: Pham Huu Tiep
Article copyright: © Copyright 2016 American Mathematical Society

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