The conjugacy problem for graph products with infinite cyclic edge groups

Lockhart, Jody Meyer

doi:10.1090/S0002-9939-1992-1072088-4

The conjugacy problem for graph products with infinite cyclic edge groups
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Proc. Amer. Math. Soc. 114 (1992), 603-606 Request permission

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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