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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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