Decision problems for HNN groups and vector addition systems

Author:
Michael Anshel

Journal:
Math. Comp. **30** (1976), 154-156

MSC:
Primary 20F10; Secondary 02G05, 68A10

DOI:
https://doi.org/10.1090/S0025-5718-1976-0396766-4

MathSciNet review:
0396766

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Abstract: Our purpose is to show the equivalence of the conjugacy problem for certain *HNN* extensions of the infinite cyclic groups and the reachability problem for the class of self-dual vector addition systems. In addition, we extend an endomorphism theorem of the author's to a homomorphism theorem and indicate a problem related to the isomorphism problem for a class of *HNN* groups.

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DOI:
https://doi.org/10.1090/S0025-5718-1976-0396766-4

Article copyright:
© Copyright 1976
American Mathematical Society