On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups

DOI10.1515/JGT.2010.024zbMath1210.20015MaRDI QIDQ3068135

Gabriel Navarro, Pham Hũ'u Tiêp

Publication date: 13 January 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

character degreesirreducible \(p\)-Brauer charactersself-normalizing Sylow subgroups

Mathematics Subject Classification ID

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

Related Items (8)

Variations on the Itô-Michler theorem on character degrees ⋮ Correspondences of Brauer characters and Sylow subgroup normalizers ⋮ Decomposition numbers and local properties ⋮ Primes and degrees of Brauer characters ⋮ On p′-degree ℓ-Brauer characters of ℓ-solvable groups ⋮ Non-abelian composition factors of \(\ell\)-Brauer \(m\)-rational groups ⋮ \(p\)-parts of Brauer character degrees. ⋮ Some simple modules for classical groups and \(p\)-ranks of orthogonal and Hermitian geometries.

Cites Work

• Extensions of unipotent characters and the inductive McKay condition.
• Representations of finite special linear groups in non-defining characteristic.
• Permutation modules for rank 3 symplectic and orthogonal groups
• Defect groups for finite groups of Lie type
• Rank 3 permutation modules of the finite classical groups.
• Self-normalizing Sylow subgroups

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