Finitely presented and conjugacy-separable implies solvable conjugacy problem
This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., finitely presented conjugacy-separable group) must also satisfy the second group property (i.e., group with solvable conjugacy problem)
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- Finitely presented implies all homomorphisms to any finite group can be listed in finite time
- Conjugacy-separable and all homomorphisms to any finite group can be listed in finite time implies solvable conjugacy problem
The proof follows by combining Facts (1) and (2).