Subnormalizers and solvability in finite groups

DOI10.1016/j.jalgebra.2022.04.019OpenAlexW3040058329MaRDI QIDQ2161135

Pietro Gheri

Publication date: 4 August 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03554

zbMATH Keywords

finite groupsprobabilityfinite simple groupsSylow subgroups\(p\)-elementsfixed point ratiosubnormalizers

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35) Probabilistic methods in group theory (20P05)

Uses Software

• GAP

Cites Work

• Unnamed Item
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• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Simple groups, permutation groups, and probability
• What is the Probability that Two Group Elements Commute?
• Character and Fixed Point Ratios in Finite Classical Groups
• Subnormalizers and the degree of nilpotence in finite groups
• Endomorphisms of linear algebraic groups

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