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

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 groups.

**[1]**Michael Anshel,*Decision problems for HNN groups and vector addition systems*, Math. Comput.**30**(1976), no. 133, 154–156. MR**0396766**, 10.1090/S0025-5718-1976-0396766-4**[2]**Michael Anshel,*Conjugate powers in HNN groups*, Proc. Amer. Math. Soc.**54**(1976), 19–23. MR**0393249**, 10.1090/S0002-9939-1976-0393249-4**[3]**Gilbert Baumslag,*Lecture notes on nilpotent groups*, Regional Conference Series in Mathematics, No. 2, American Mathematical Society, Providence, R.I., 1971. MR**0283082****[4]**A. H. Clifford and G. B. Preston,*The algebraic theory of semigroups. Vol. II*, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1967. MR**0218472**

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DOI:
https://doi.org/10.1090/S0002-9939-1976-0422457-9

Article copyright:
© Copyright 1976
American Mathematical Society