Classification of groups whose vanishing elements are contained in exactly two conjugacy classes

DOI10.22034/AS.2024.20965.1692MaRDI QIDQ6646326

S. M. Robati

Publication date: 29 November 2024

Published in: Algebraic Structures and their Applications (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesFrobenius groupsirreducible characterssolvable groupsvanishing elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15)

Cites Work

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• Frobenius groups with almost distinct conjugacy class sizes
• Finite group elements where no irreducible character vanishes
• Finite groups whose irreducible characters vanish only on \(p\)-elements.
• Groups whose set of vanishing elements is the union of at most three conjugacy classes
• On the vanishing prime graph of solvable groups
• Finite groups with at most six vanishing conjugacy classes
• Finite groups with a self-centralizing subgroup of order 4

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