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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 finite graph products

Author: K. J. Horadam
Journal: Proc. Amer. Math. Soc. 106 (1989), 589-592
MSC: Primary 20F10; Secondary 05C25, 20E06, 20L10
MathSciNet review: 962244
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Abstract: A finite graph product is the fundamental group of a finite graph of groups. Finite graph products with finite cyclic edge groups are shown to inherit a solvable conjugacy problem from their vertex groups under certain conditions, of which the most important is that all the edge group generators in each vertex group are powers of a common central element.

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Additional Information

PII: S 0002-9939(1989)0962244-5
Keywords: Graph product, fundamental group, graph of groups, conjugacy problem, HNN extension, free product with amalgamation
Article copyright: © Copyright 1989 American Mathematical Society

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