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Decision problems in classes of finitely presented groups with solvable conjugacy problem, with solvable order problem, and with solvable power problem are considered. It is shown that the problem of recognizing group properties is in no real sense improved by restricting attention to these classes.doi:10.1090/s0002-9939-1982-0656089-7 fatcat:vakckwel5ra3zkbecwjicdxrmm