On Generalised Free Products of Conjugacy Separable Groups

  title={On Generalised Free Products of Conjugacy Separable Groups},
  author={Goansu Kim and James McCarron and Christina Ka Yin Tang},
In this paper we prove that a free product of conjugacy separable groups A and B, amalgamating a cyclic subgroup, is conjugacy separable if A and B are subgroup separable, cyclic conjugacy separable, 2-free, and residually p-finite, for all prime numbers p. The following result is an example of the applications we obtain as consequences of our main theorem. Let A and B each be a free product of surface groups, amalgamating a maximal cyclic subgroup. Then a free product of A and B, amalgamating… CONTINUE READING
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