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Groups with finitely many conjugacy classes and their automorphisms

Minasyan, Ashot (2009) Groups with finitely many conjugacy classes and their automorphisms Commentarii Mathematici Helvetici, 84, (2), pp. 259-296. (doi:10.4171/CMH/162).

Record type: Article


We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements. Moreover, we present several results concerning embeddings into such groups.
As another application of these techniques, we prove that every countable group C can be realized as a group of outer automorphisms of a group N, where N is a finitely generated group having Kazhdan’s property (T) and containing exactly two conjugacy classes.

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Submitted date: 1 April 2007
Published date: 2009
Organisations: Pure Mathematics


Local EPrints ID: 54841
ISSN: 0010-2571
PURE UUID: ce1632a1-5e37-4d61-8b4b-b4fa7bdf0a8b

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Date deposited: 24 Oct 2008
Last modified: 17 Jul 2017 14:34

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