Gaps in probabilities of satisfying some commutator-like identities

DOI10.1007/s11856-020-1999-7zbMath1480.20064arXiv1809.02997OpenAlexW3014298567MaRDI QIDQ2190044

Chiara Nicotera, Costantino Delizia, Urban Jezernik, Primož Moravec

Publication date: 18 June 2020

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

Full work available at URL: https://arxiv.org/abs/1809.02997

zbMATH Keywords

2-Engel wordcoset probabilitiesmetabelian wordword probability

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Engel conditions (20F45) Probabilistic methods in group theory (20P05)

Related Items (3)

A generalization of a question asked by B. H. Neumann ⋮ Applying extremal graph theory to a question on finite groups ⋮ Word problems for finite nilpotent groups

Cites Work

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• Fibers of word maps and some applications.
• Verbal width in anabelian groups
• Words, Hausdorff dimension and randomly free groups
• Probabilistically nilpotent groups
• Commuting probabilities of finite groups
• Two Combinatorial Problems in Group Theory
• What is the Probability that Two Group Elements Commute?
• Fibers of word maps and the multiplicities of non-abelian composition factors
• On the Relative Commutativity Degree of a Subgroup of a Finite Group

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