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Finite index subgroups of conjugacy separable groups
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Sheila C. Chagas
Published/Copyright:
March 12, 2009
Abstract
We construct an example of conjugacy separable group possessing a subgroup of finite index which is not conjugacy separable. We give also a sufficient condition for a conjugacy separable group to preserve this property when passing to subgroups of finite index. We establish also conjugacy separability of finitely presented residually free groups using impressive results of Bridson and Wilton [Subgroup separability in residually free groups].
Received: 2007-10-26
Published Online: 2009-03-12
Published in Print: 2009-March
© de Gruyter 2009
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Articles in the same Issue
- Homotopy theory of small diagrams over large categories
- A classification of transitive ovoids, spreads, and m-systems of polar spaces
- Frobenius complements of exponent dividing 2m · 9
- Asymptotics of class numbers for progressions and for fundamental discriminants
- A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces
- A topological version of the Bergman property
- A unified treatment of certain majorization results on eigenvalues and singular values of matrices
- Finite index subgroups of conjugacy separable groups
- A Bohr-like compactification and summability of Fourier series
