AN EXAMPLE OF A SUBGROUP SEPARABLE BUT NOT CONJUGACY SEPARABLE GROUP

作者:Chagas S C*; De Oliveira K S; Zalesskii P A
来源:International Journal of Algebra and Computation, 2012, 22(8): 1240006.
DOI:10.1142/S0218196712400061

摘要

We give an example of a conjugacy separable, but not subgroup separable group. It is an adaptation of an example of Tavgen and the third author from [Closed orbits and finite approximability with respect to conjugacy of free amalgamated products, Math. Notes 58 (1995) 1042-1048] to a theorem of Raptis [On finiteness conditions of certain graphs of groups, Internat. J. Algebra Comput. 5 (1995) 719-724].

全文