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On groups with one defining relation having an abelian normal subgroup.

Authors: Abraham Karrass and Donald Solitar
Journal: Proc. Amer. Math. Soc. 23 (1969), 5-10
MSC: Primary 20.10
MathSciNet review: 0245656
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  • [1] Gilbert Baumslag and Tekla Taylor, The centre of groups with one defining relator, Math. Ann. 175 (1968), 315–319. MR 0222144
  • [2] D. B. A. Epstein, A result on free products with amalgamation, J. London Math. Soc. 37 (1962), 130–132. MR 0137752
  • [3] A. Karrass, W. Magnus, and D. Solitar, Elements of finite order in groups with a single defining relation., Comm. Pure Appl. Math. 13 (1960), 57–66. MR 0124384
  • [4] W. Magnus, Über diskontinuierliche Gruppen mit einer definierenden Relation (der Freiheitssatz), J. Reine Angew. Math. 163 (1930), 141-165.
  • [5] W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
  • [6] D. I. Moldavanskiĭ, Certain subgroups of groups with one defining relation, Sibirsk. Mat. Ž. 8 (1967), 1370–1384 (Russian). MR 0220810
  • [7] Kunio Murasugi, The center of a group with a single defining relation, Math. Ann. 155 (1964), 246–251. MR 0163945

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Article copyright: © Copyright 1969 American Mathematical Society