Journal of the Australian Mathematical Society

Research Article

Residual finiteness of permutational products

R. J. Gregoraca1

a1 Institute of Advanced Studies The Australian National University Canberra

Abstract

Conditions sufficient to guarantee that a generalized free product of two residually finite groups A and B is again residually finite have been given by Baumslag [1]. We here show the same conditions guarantee that a certain permutational product of A and B is also residually finite.

(Received May 03 1968)