Probabilistically nilpotent groups

DOI10.1090/proc/13867zbMath1427.20036arXiv1801.07197OpenAlexW2962818975MaRDI QIDQ3132786

Aner Shalev

Publication date: 30 January 2018

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

Full work available at URL: https://arxiv.org/abs/1801.07197

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Probabilistic methods in group theory (20P05)

Related Items (9)

On the commuting probability for subgroups of a finite group ⋮ Probabilistically-like nilpotent groups ⋮ Gaps in probabilities of satisfying some commutator-like identities ⋮ Probabilistically nilpotent groups of class two ⋮ BFC-theorems for higher commutator subgroups ⋮ Words, permutations, and the nonsolvable length of a finite group ⋮ Commuting probabilities of infinite groups ⋮ Probabilistic nilpotence in infinite groups ⋮ Almost PI algebras are PI

Cites Work

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• Fibers of word maps and some applications.
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• Words, Hausdorff dimension and randomly free groups
• Fibers of automorphic word maps and an application to composition factors
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• Limit points in the range of the commuting probability function on finite groups
• Commuting probabilities of finite groups
• Commutator maps, measure preservation, and 𝑇-systems
• On the probability distribution associated to commutator word map in finite groups
• Two Combinatorial Problems in Group Theory
• Several Conjectures on Commutativity in Algebraic Structures
• Finite Groups Containing Many Involutions
• What is the Probability that Two Group Elements Commute?
• Groups satisfying identities with high probability
• Residual properties of free groups and probabilistic methods
• Some Results and Problems in the Theory of Word Maps

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