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The conjugacy problem for HNN groups and the word problem for commutative semigroups


Author: Michael Anshel
Journal: Proc. Amer. Math. Soc. 61 (1976), 223-224
MSC: Primary 20M05; Secondary 20F10
DOI: https://doi.org/10.1090/S0002-9939-1976-0422457-9
MathSciNet review: 0422457
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Abstract: We show how a positive solution to the word problem for finitely generated commutative semigroups leads to a positive solution to the conjugacy problem for a class of $ HNN$ groups.


References [Enhancements On Off] (What's this?)

  • [1] M. Anshel, Decision problems for $ HNN$ Groups and vector addition systems, Math. Comp. 30 (1976), 154-156. MR 0396766 (53:626)
  • [2] -, Conjugate powers in $ HNN$ groups, Proc. Amer. Math. Soc. 54 (1976), 19-23. MR 0393249 (52:14059)
  • [3] G. Baumslag, Lecture notes on nilpotent groups, C.B.M.S. Regional Conf. Ser. in Math., no. 2, Amer. Math. Soc., Providence, R.I., 1971. MR 44 #315. MR 0283082 (44:315)
  • [4] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups, Vol. II, Math. Surveys, no. 7, Amer. Math. Soc., Providence, R.I., 1967. MR 36 #1558. MR 0218472 (36:1558)

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DOI: https://doi.org/10.1090/S0002-9939-1976-0422457-9
Article copyright: © Copyright 1976 American Mathematical Society

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