Supersolvability and nilpotency in terms of the commuting probability and the average character degree

DOI10.1007/s10231-023-01380-5arXiv2301.07633MaRDI QIDQ6196047

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Publication date: 14 March 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.07633

zbMATH Keywords

nilpotent groupconjugacy classsupersolvable group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18)

Cites Work

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• The average degree of an irreducible character of a finite group.
• On the commuting probability and supersolvability of finite groups.
• Solvability of groups of odd order
• On the commuting probability in finite groups.
• Binomial Coefficients and the Distribution of the Primes
• What is the Probability that Two Group Elements Commute?
• Zero-Free Regions for Dirichlet L-Functions, and the Least Prime in an Arithmetic Progression
• Soluble Groups with Many Polycyclic Quotients
• Conditional bounds for the least quadratic non-residue and related problems
• On the average character degree of finite groups
• Some Supersolvability Conditions for Finite Groups
• Endliche Gruppen I
• Conjugacy classes of \(\pi \)-elements and nilpotent/abelian Hall \(\pi \)-subgroups
• The average character degree of finite groups and Gluck's conjecture
• On the commuting probability of \(p\)-elements in a finite group

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