ADJOINING ROOTS TO CONJUGACY SEPARABLE GROUPS

In general, groups obtained by adjoining roots to conjugacy separable groups need not be conjugacy separable. We derive some conditions so that, by adjoining roots to certain classes of conjugacy separable groups, the resulting groups are again conjugacy separable. We apply this result to show that all residually finite 1-relator groups of the form [a, b; a(-alpha)b (beta)a(alpha)b(gamma)] are conjugacy separable. We also show that groups of the form [a, b; (a(-alpha)b(l)a(alpha)b(m))(s)], where s > 1, are conjugacy separable. (C) 1995 Academic Press, Inc.