Groups with just one character degree divisible by a given prime

DOI10.1090/S0002-9947-09-04718-7zbMath1203.20005MaRDI QIDQ3648204

Alexander Moretó, Gabriel Navarro, I. M. Isaacs, Pham Hũ'u Tiêp

Publication date: 24 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsSylow subgroupsirreducible complex characterscharacter degreesIto-Michler theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representations of finite groups of Lie type (20C33)

Related Items (7)

Finite groups with only one \(p\)-singular Brauer character degree ⋮ Variations on the Itô-Michler theorem on character degrees ⋮ On heights of characters of finite groups ⋮ Divisibility among even character degrees. ⋮ Nonsolvable groups satisfying the prime-power hypothesis. ⋮ A character theoretic criterion for a \(p\)-closed group. ⋮ On the orders of vanishing elements of finite groups

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• Cross characteristic representations of even characteristic symplectic groups
• Half-Transitive Automorphism Groups
• Endliche Gruppen I

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