Orbit decidability and the conjugacy problem for some extensions of groups

Given a short exact sequence of groups with certain conditions, 1 ? F ? G ? H ? 1, we prove that G has solvable conjugacy problem if and only if the corresponding action subgroup A 6 Aut(F) is orbit decidable. From this, we deduce that the conjugacy problem is solvable, among others, for all groups...

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Bibliographic Details
Main Authors: Bogopolski, Oleg (Author), Martino, Armando (Author), Ventura, Enric (Author)
Format: Article
Language:English
Published: 2009.
Subjects:
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