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

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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.
Original languageEnglish
Pages (from-to)4135-4150
Number of pages16
JournalProceedings of the American Mathematical Society
Volume144
Issue number10
DOIs
Publication statusPublished - 25 Apr 2016

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