An infinitude of counterexamples to Herzog’s conjecture on involutions in simple groups

DOI10.1080/00927872.2020.1836563zbMath1506.20056OpenAlexW3094670002MaRDI QIDQ5856769

Stefan Hammer, Nneka Chigozie Okoli, Chimere Stanley Anabanti

Publication date: 29 March 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1836563

zbMATH Keywords

finite simple groupsinvolutionselements of odd prime order

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

On some non-isomorphic simple groups with equalities on their number of elements orders

Cites Work

• Unnamed Item
• A characterization of \(A_{5}\) by its same-order type
• A counterexample to Herzog's conjecture on the number of involutions
• A counterexample to Zarrin's conjecture on sizes of finite nonabelian simple groups in relation to involution sizes
• Asymptotics of the number of involutions in finite classical groups
• On the Classification of Finite Simple Groups by the Number of Involutions

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