Rationality and Sylow 2-subgroups

DOI10.1017/S0013091509000868zbMath1210.20011OpenAlexW2104618114MaRDI QIDQ4933553

Gabriel Navarro, Joan F. Tent

Publication date: 14 October 2010

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091509000868

zbMATH Keywords

finite groupsnumbers of irreducible charactersSylow subgroupsrational conjugacy classesGalois actionsrational-valued characters

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (6)

Characters of \(\pi'\)-degree and small cyclotomic fields ⋮ Certain monomial characters of \(p'\)-degree. ⋮ A criterium for monomiality. ⋮ The Brauer group of character rings ⋮ Quadratic rational solvable groups. ⋮ Global and local properties of finite groups with only finitely many central units in their integral group ring

Cites Work

• Unnamed Item
• Characters of \(\pi\)-separable groups
• Quadratic characters in groups of odd order.
• Glauberman-Isaacs correspondence and \(\pi\)-Brauer characters
• Fields of values of Fong characters.
• Galois correspondences between the irreducible characters and the conjugacy classes of finite groups
• Character Correspondences and π-Special Characters in π-Separable Groups
• Fields, values and character extensions in finite groups
• The Real Part of the Character Table of a Finite Group
• Rational irreducible characters and rational conjugacy classes in finite groups

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