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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

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