Degree of commutativity of infinite groups

DOI10.1090/proc/13231zbMath1380.20064arXiv1511.07269OpenAlexW2180963574MaRDI QIDQ5298174

Armando Martino, Yago Antolín, Enric Ventura Capell

Publication date: 14 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07269

zbMATH Keywords

polynomial growthabelian groupsdegree of commutativity

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Probabilistic methods in group theory (20P05)

Related Items (12)

Probabilistically-like nilpotent groups ⋮ The degree of commutativity and lamplighter groups ⋮ On the commuting probability of \(p\)-elements in a finite group ⋮ Compact groups with high commuting probability of monothetic subgroups ⋮ Rational growth and degree of commutativity of graph products ⋮ Word problems for finite nilpotent groups ⋮ Commuting probabilities of infinite groups ⋮ Algorithmic problems in Engel groups and cryptographic applications ⋮ The Conjugacy Ratio of Groups ⋮ Probabilistic nilpotence in infinite groups ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Counting primitive elements in free groups
• Poincaré complexes. I
• The number of conjugacy classes in a finite group
• Permute and conjugate: the conjugacy problem in relatively hyperbolic groups
• What is the Probability that Two Group Elements Commute?

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