J Austral Math Soc Ser A 47 pp334--342, 1989.

On Conjugacy p-Separabilty of Free Centre-By-Metabelian Groups

C. K. Gupta, N. D. Gupta and F. Levin

(Received 23 February 1988)

Abstract

A group G is said to be conjugacy p-separable of two non-conjugate elements of G remain non-conjugate in some finite p-group endomorphic image of G. We show that the non-cyclic free centre-by-metabelian groups are not conjugacy p-separable for any prime p. On the other hand, we show that every free centre-by-metabelian group has the solvable conjugacy problem.

1980 AMS Subject Classification (1985 Revision): 20E22, 20E25, 20E99

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Authors

C. K. Gupta: Department of Mathematics, Ruhr University, Bochum, West Germany.
N. D. Gupta: Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada.
F. Levin: Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada.

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