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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The conjugacy problem for graph products with infinite cyclic edge groups


Author: Jody Meyer Lockhart
Journal: Proc. Amer. Math. Soc. 114 (1992), 603-606
MSC: Primary 20F10; Secondary 20E06
MathSciNet review: 1072088
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Abstract: Finite graph products of groups with solvable conjugacy problem and infinite cyclic edge groups are considered. It is shown that the graph product has solvable conjugacy problem if the images of the edge group generators in each vertex group $ {G_v}$ are powers of a common central element $ c$, where the group generated by $ c$ has solvable generalized word problem in $ {G_v}$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1072088-4
PII: S 0002-9939(1992)1072088-4
Article copyright: © Copyright 1992 American Mathematical Society