An HNN-extension with cyclic associated subgroups and with unsolvable conjugacy problem

Lockhart, Jody Meyer

doi:10.1090/S0002-9947-1989-0992601-7

An HNN-extension with cyclic associated subgroups and with unsolvable conjugacy problem
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by Jody Meyer Lockhart PDF

Trans. Amer. Math. Soc. 313 (1989), 331-345 Request permission

Abstract:

In this paper, we consider the conjugacy problem for ${\text {HNN}}$-extensions of groups with solvable conjugacy problem for which the associated subgroups are cyclic. An example of such a group with unsolvable conjugacy problem is constructed. A similar construction is given for free products with amalgamation.

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