The Conjugacy Problem and Higman Embeddings

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The Conjugacy Problem and Higman Embeddings is written by Aleksandr I︠U︡rʹevich Olʹshanskiĭ and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821835130 (ISBN 10) and 9780821835135 (ISBN 13).

For every finitely generated recursively presented group $\mathcal G$ we construct a finitely presented group $\mathcal H$ containing $\mathcal G$ such that $\mathcal G$ is (Frattini) embedded into $\mathcal H$ and the group $\mathcal H$ has solvable conjugacy problem if and only if $\mathcal G$ has solvable conjugacy problem.