Abstract
A group 𝐺 is twisted conjugacy separable if, for every automorphism 𝜑, distinct 𝜑-twisted conjugacy classes can be separated in a finite quotient.
Likewise, 𝐺 is completely twisted conjugacy separable if, for any group 𝐻 and any two homomorphisms
Acknowledgements
The author is indebted to Peter Wong for bringing the work by Stebe on nests to his attention, to Karel Dekimpe for catching a mistake in the proof of Theorem B and helping to correct said proof, and to the anonymous referee for a multitude of helpful comments and valuable suggestions.
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Communicated by: Benjamin Klopsch
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Rigid stabilizers and local prosolubility for boundary-transitive actions on tree
- Twisted conjugacy and separability
- Mixed identities, hereditarily separated actions and oscillation
- Decomposition of Thompson group representations arising from Cuntz algebras
- Liftable automorphisms of right-angled Artin groups
- Uncountable groups in which permutability is a transitive relation
- On semiabelian groups
- Critical classes of power graphs and reconstruction of directed power graphs
- Weights for 𝜋-partial characters of 𝜋-separable groups
Artikel in diesem Heft
- Frontmatter
- Rigid stabilizers and local prosolubility for boundary-transitive actions on tree
- Twisted conjugacy and separability
- Mixed identities, hereditarily separated actions and oscillation
- Decomposition of Thompson group representations arising from Cuntz algebras
- Liftable automorphisms of right-angled Artin groups
- Uncountable groups in which permutability is a transitive relation
- On semiabelian groups
- Critical classes of power graphs and reconstruction of directed power graphs
- Weights for 𝜋-partial characters of 𝜋-separable groups