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arXiv · 0903.3751

The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes

Alexandre V. Borovik·Alexei G. Myasnikov·Vladimir N. Remeslennikov
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Abstract

We discuss the time complexity of the word and conjugacy search problems for free products $G = A \star_C B$ of groups $A$ and $B$ with amalgamation over a subgroup $C$. We stratify the set of elements of $G$ with respect to the complexity of the word and conjugacy problems and show that for the generic stratum the conjugacy search problem is decidable under some reasonable assumptions about groups $A,B,C$.

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Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir N. Remeslennikov. 2009-03-22. The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes. https://arxiv.org/abs/0903.3751

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