Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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An HNN-extension with cyclic associated subgroups and with unsolvable conjugacy problem
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by Jody Meyer Lockhart
Trans. Amer. Math. Soc. 313 (1989), 331-345
DOI: https://doi.org/10.1090/S0002-9947-1989-0992601-7

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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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 313 (1989), 331-345
  • MSC: Primary 03D40; Secondary 20E06, 20F05, 20F10
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0992601-7
  • MathSciNet review: 992601