Abstract
Necessary and sufficient conditions for the isomorphism of two groups, each defined by a single relation of the type a−1bma=bn, are obtained.
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Literature cited
G. Baumslag and D. Solitar, “Some two-generator one-relator non-Hopfian groups,” Bull. Am. Math. Soc.,68, 199–201 (1962).
D. I. Moldavanskii, “On the intersection of subgroups of finite index in non-Hopfian one-relator groups,” manuscript deposited at VINITI, Moscow (1986), No. 6671-V.
R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory, Springer-Verlag, Berlin-Heidelberg-New York (1977).
A. M. Brunner, “On a class of one-relator groups,” Can. J. Math.,32, No. 2, 414–420 (1980).
W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Interscience, New York (1966).
V. Ya. Bloshchitsyn, Yu. I. Merzlyakov, and V. A. Churkin (eds.), Kourovka Notebook (Unsolved Problems of Group Theory) [in Russian], Novosibirsk (1986).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1684–1686, December, 1991.
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Moldavanskii, D.I. Isomorphism of the Baumslag-Solitar groups. Ukr Math J 43, 1569–1571 (1991). https://doi.org/10.1007/BF01066696
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DOI: https://doi.org/10.1007/BF01066696