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On Generalised Free Products of Conjugacy Separable Groups

✍ Scribed by Goansu Kim; James Mccarron; C.Y. Tang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 196 KB
Volume: 180
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0056

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✦ Synopsis

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 a cyclic subgroup, is conjugacy separable.

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