On subgroup conjugacy separability in the class of virtually free groups

Details On subgroup conjugacy separability in the class of virtually free groups On subgroup conjugacy separability in the class of virtually free groups

2010-12-22

arxiv.org/abs/1012.5122v1

Mathematics

Group Theory

18 pages, 6 figures

Scientific paper

A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient of G. We prove that the free groups and the fundamental groups of finite trees of finite groups with some normalizer condition are SCS. We also introduce the subgroup into-conjugacy separability property and prove that the above groups have this property too.

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