Groups whose vanishing class sizes are not divisible by a given prime.

DOI10.1007/S00013-010-0107-3zbMath1202.20010OpenAlexW2001064457MaRDI QIDQ971861

Silvio Dolfi, Emanuele Pacifici, Lucia Sanus

Publication date: 17 May 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0107-3

zbMATH Keywords

finite groupsirreducible complex charactersAbelian Sylow subgroupsnormal complementsvanishing elementsvanishing conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

On finite groups with exactly one vanishing conjugacy class size ⋮ Groups whose vanishing elements are of odd order ⋮ On vanishing class sizes in finite groups ⋮ Groups whose vanishing class sizes are p-powers ⋮ The Isaacs-Navarro-Wolf conjecture for groups with one vanishing class size ⋮ Non-vanishing elements in finite groups. ⋮ Zeros of irreducible characters in factorised groups ⋮ On solvable groups with one vanishing class size ⋮ ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II ⋮ Groups with vanishing class size \(p\) ⋮ Groups whose vanishing class sizes are prime powers

Cites Work

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• Primes dividing the degrees of the real characters.
• Character theory of finite groups
• Class covering numbers of finite simple groups
• Finite group elements where no irreducible character vanishes
• On vanishing sums of roots of unity.
• On the orders of zeros of irreducible characters.
• Character degree graphs that are complete graphs
• Defect zero blocks for finite simple groups
• Endliche Gruppen I

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