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The conjugacy problem and cuclic HNN constructions

Published online by Cambridge University Press:  09 April 2009

Leif Larsen
Leif Larsen
Affiliation:
Institute of Math., University of Oslo, Blindern, Oslo 3, Norway
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Abstract

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We consider two related classes of groups. For any group G of the first of these — the smallest class containing all finitely generated free groups and closed under cyclic amalgamations — we show that for any U, W ∈ G we can “effectively describe” the set of all x and y with U* and W* conjugate in G. For the second class, which consists of all groups obtained from the first class through cyclic HNN constructions, we solve the conjugacy and power-conjugacy problems.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 4 , June 1977 , pp. 385 - 401
Copyright
Copyright © Australian Mathematical Society 1977

References

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