Mathematics – Group Theory
Scientific paper
2009-03-22
Mathematics
Group Theory
Scientific paper
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 $A,B,C$.
Borovik Alexandre V.
Myasnikov Alexei G.
Remeslennikov Vladimir N.
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