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arXiv · 1109.1254

On the conjugacy problem in group $\bf F/{N_1\cap N_2}$

O. V. Kulikova
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Abstract

Let $N_1$ (resp., $N_2$) be the normal closure of a finite symmetrized set $R_1$ (resp., $R_2$) of a finitely generated free group $F = F(A)$. It is well-known that if $R_i$ satisfies the condition C(6), then the conjugacy problem is solvable in $F/N_i$. In the present paper we prove that if $R_1\cup R_2$ satisfies the condition C(6) and the presentation $ $ is atorical, then the conjugacy problem is solvable in $F/{N_1\cap N_2}$. In particular, if $R_1\cup R_2$ satisfies the condition C(7) then the conjugacy problem is solvable in $F/{N_1\cap N_2}$.

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O. V. Kulikova. 2011-09-06. On the conjugacy problem in group $\bf F/{N_1\cap N_2}$. https://arxiv.org/abs/1109.1254

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