Fritz Grunewald

  1. On subgroup conjugacy separability in the class of virtually free groups.

    Authors: Oleg Bogopolski, Fritz Grunewald
    Subjects: Group Theory
    Abstract

    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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