Characterizing normal Sylow \(p\)-subgroups by character degrees.

DOI10.1016/J.JALGEBRA.2012.07.050zbMath1277.20010OpenAlexW2070067422MaRDI QIDQ1950641

Gunter Malle, Gabriel Navarro

Publication date: 13 May 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.050

zbMATH Keywords

finite groupsirreducible characterscharacter degreesnormal Sylow subgroupspermutation characterirreducible constituentsIto-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)

Related Items (12)

Variations on the Itô-Michler theorem on character degrees ⋮ Pronormal subgroups and zeros of characters ⋮ Sylow normalizers and irreducible characters with small cyclotomic field of values ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Sylow branching coefficients and a conjecture of Malle and Navarro ⋮ Height zero conjecture with Galois automorphisms ⋮ On zeros of irreducible characters lying in a normal subgroup ⋮ Monomial characters of finite solvable groups ⋮ On principal indecomposable degrees and Sylow subgroups ⋮ Positivity of Sylow branching coefficients for symmetric groups ⋮ Linear characters of Sylow subgroups of symmetric groups ⋮ Sylow branching coefficients for symmetric groups

Cites Work

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• Primes dividing the degrees of the real characters.
• On the orders of zeros of irreducible characters.
• Degrees and p -rational characters
• Character degree graphs that are complete graphs
• Defect zero blocks for finite simple groups

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