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 t hat, by adjoining roots to certain classes of conjugacy separable grou ps, 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, In c.