On the conjugacy problem for 𝐹/𝑅’

Gupta, C. K.

doi:10.1090/S0002-9939-1982-0652430-X

On the conjugacy problem for $F/R’$
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by C. K. Gupta PDF

Proc. Amer. Math. Soc. 85 (1982), 149-153 Request permission

Abstract:

Let $F/R$ be a finitely generated recursively presented group with the solvable conjugacy problem and the solvable power problem. The conjugacy problem for $F/R’$ when $F/R$ is torsion free has been solved by Remeslennikov and Sokolov (Algebra and Logic 9 (1970), 342-349). In this note we prove that $F/R’$ has the solvable conjugacy problem even when $F/R$ is not torsion free. This allows us, in particular, to conclude the solvability of the conjugacy problem for $F/[{F^n},{F^n}]$ in terms of the conjugacy problem for $F/{F^n}$.

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