The isomorphism problem for two-generator one-relator groups with torsion is solvable

Author:
Stephen J. Pride

Journal:
Trans. Amer. Math. Soc. **227** (1977), 109-139

MSC:
Primary 20F05

DOI:
https://doi.org/10.1090/S0002-9947-1977-0430085-X

MathSciNet review:
0430085

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Abstract: The theorem stated in the title is obtained by determining (in a sense to be made precise) all the generating pairs of an arbitrary two-generator one-relator group with torsion. As a consequence of this determination it is also deduced that every two-generator one-relator group *G* with torsion is Hopfian, and that the automorphism group of *G* is finitely generated.

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DOI:
https://doi.org/10.1090/S0002-9947-1977-0430085-X

Article copyright:
© Copyright 1977
American Mathematical Society