COMMUTATOR EQUATIONS IN FINITE GROUPS

DOI10.1017/S0017089521000124MaRDI QIDQ5070175

Kanto Irimoto, Enrique Torres-Giese

Publication date: 11 April 2022

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15161

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Commutator calculus (20F12) Probabilistic methods in group theory (20P05)

Uses Software

• GAP

Cites Work

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• The Ore conjecture.
• Remarks on commutators in finite groups
• Isoclinism classes and commutativity degrees of finite groups
• A classifying space for commutativity in Lie groups
• Probability that the commutator of two group elements is equal to a given element.
• On the commuting probability in finite groups.
• Commuting elements, simplicial spaces and filtrations of classifying spaces
• Higher commutativity and nilpotency in finite groups
• Commutator maps, measure preservation, and 𝑇-systems
• What is the Probability that Two Group Elements Commute?

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