Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks

DOI10.1112/blms/bdt099zbMath1298.20022OpenAlexW2094811345WikidataQ58940352 ScholiaQ58940352MaRDI QIDQ5409113

Benjamin Sambale, Burkhard Külshammer, Gabriel Navarro, Pham Hũ'u Tiêp

Publication date: 14 April 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdt099

zbMATH Keywords

finite groupsfusion systemsBrauer blocks\(p\)-blocks, Sylow subgroupsconjugacy classes of \(p\)-elements

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items

Conjugacy classes of \(p\)-elements and normal \(p\)-complements, Recognizing Abelian Sylow Subgroups in Finite Groups, The blocks with four irreducible characters, Abelian Sylow subgroups in a finite group. II., The principal p‐blocks with four irreducible characters, Blocks with transitive fusion systems, Principal blocks with 5 irreducible characters

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on Olsson's conjecture.
• Abelian Sylow subgroups in a finite group.
• Isometries and extra special Sylow groups of order \(p^3\).
• Control of fusion and solubility in fusion systems
• A note on Cartan integers for \(p\)-solvable groups
• Symmetric local algebras and small blocks of finite groups
• On determinants of Cartan matrices of p-blocks
• A lower bound for the number of irreducible characters in a block
• On blocks with Frobenius inertial quotient.
• On subpairs and modular representation theory
• The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
• A reduction theorem for fusion systems of blocks.
• p-solvable doubly transitive permutation groups
• The local structure of finite groups of characteristic 2 type
• Symmetric Local Algebras with 5-Dimensional Center
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• On The Number of Conjugacy Classes of a Finite Solvable Group