On the conjugacy growth functions of groups.

zbMath1234.20041arXiv1003.1293MaRDI QIDQ716404

Mark V. Sapir, Victor S. Guba

Publication date: 28 April 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1293

zbMATH Keywords

numbers of conjugacy classesfinitely generated groupsconjugacy growth functionsexponential growth functions

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Related Items

On the spread of infinite groups ⋮ The degree of commutativity and lamplighter groups ⋮ Permute and conjugate: the conjugacy problem in relatively hyperbolic groups ⋮ Conjugacy growth in branch groups ⋮ Invariable generation and the Houghton groups ⋮ The conjugacy growth of the soluble Baumslag-Solitar groups ⋮ Counting conjugacy classes in groups with contracting elements ⋮ Conjugacy growth in the higher Heisenberg groups ⋮ Conjugacy growth in polycyclic groups. ⋮ Conjugacy growth series and languages in groups ⋮ Rational growth in virtually abelian groups ⋮ On conjugacy growth for solvable groups. ⋮ On the hyperbolic orbital counting problem in conjugacy classes ⋮ Combinatorial growth in the modular group ⋮ On the finite index subgroups of Houghton's groups

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