Groups with the same character degrees as sporadic quasisimple groups

DOI10.1080/00927872.2020.1860215OpenAlexW3138645201MaRDI QIDQ5858454

Safoora Madady Moghadam, Ali Iranmanesh

Publication date: 13 April 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1860215

zbMATH Keywords

sporadic simple groupscharacter degreesquasisimple groupsHuppert's conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Cites Work

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• Extending Huppert's conjecture from non-abelian simple groups to quasi-simple groups
• Huppert's conjecture for \(Fi_{23}\)
• The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees.
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• Character theory of finite groups
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• An answer to a question of Isaacs on character degree graphs.
• A reduction theorem for the McKay conjecture.
• ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS
• Nilpotent and perfect groups with the same set of character degrees
• Character degree graphs that are complete graphs
• The set of character degrees of a finite group does not determine its solvability

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