On the Multiple Conjugacy Problem in Group F/N1∩ N2

Let F be a free group generated by a finite alphabet A . Let N 1 ( N 2 ) be the normal closure of a finite non-empty symmetrized set R 1 (respectively, R 2 ) of elements in F . Earlier, one obtained the conditions sufficient for the solvability of the conjugacy problem in the group F/N 1 ∩ N 2 . The...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022, Vol.262 (5), p.702-717
Main Author: Kulikova, O. V.
Format: Article
Language:English
Subjects:
Group theory
Mathematics
Mathematics and Statistics
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Summary:Let F be a free group generated by a finite alphabet A . Let N 1 ( N 2 ) be the normal closure of a finite non-empty symmetrized set R 1 (respectively, R 2 ) of elements in F . Earlier, one obtained the conditions sufficient for the solvability of the conjugacy problem in the group F/N 1 ∩ N 2 . The present paper is a continuation of this research and is devoted to the solvability of the multiple conjugacy problem in F/N 1 ∩ N 2 . In particular, we get that if R 1 ∪ R 2 satisfies the small cancellation condition C' (1 / 6), then the multiple conjugacy problem is solvable in F/N 1 ∩ N 2 .
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05848-2