On solvable groups with one vanishing class size

DOI10.1017/PRM.2020.69OpenAlexW3085921539MaRDI QIDQ5152532

Mark L. Lewis, Emanuele Pacifici, Mariagrazia Bianchi, Rachel D. Camina

Publication date: 24 September 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03757

zbMATH Keywords

finite groupsvanishing conjugacy classes

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On vanishing criteria that control finite group structure
• Groups whose vanishing class sizes are not divisible by a given prime.
• On finite \(p\)-groups which have only two conjugacy lengths
• Mutually permutable products and conjugacy classes.
• Finite group elements where no irreducible character vanishes
• Non-vanishing elements of finite groups.
• Groups with vanishing class size \(p\)
• Groups with many equal classes
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• On the vanishing prime graph of solvable groups
• The structure of finite groups of conjugate rank 2
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• On Finite Groups with Given Conjugate Types I

Related Items (5)

On finite groups with exactly one vanishing conjugacy class size ⋮ Groups whose vanishing class sizes are p-powers ⋮ The Isaacs-Navarro-Wolf conjecture for groups with one vanishing class size ⋮ Finite Solvable Groups with an Irreducible Character Vanishing on Just One Class of Elements ⋮ Groups whose vanishing class sizes are prime powers

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