Sylow 2-subgroups of rational solvable groups.

DOI10.1007/s00209-011-0965-9zbMath1270.20004OpenAlexW1966074414MaRDI QIDQ1925729

Gabriel Navarro, I. M. Isaacs

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0965-9

zbMATH Keywords

Sylow 2-subgroupssolvable groups2-rational groupsfinite rational groupsrational valued irreducible characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (7)

A note on the rationality of Sylow 2-subgroups of rational groups ⋮ Research in representation theory of finite groups ⋮ Abelianization and fixed point properties of units in integral group rings ⋮ The rationality of Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ Problems on characters: solvable groups ⋮ Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ Global and local properties of finite groups with only finitely many central units in their integral group ring

Uses Software

• GAP
• Magma

Cites Work

• Unnamed Item
• Structure and representations of Q-groups
• Conjugacy in groups of upper triangular matrices
• Rational defect groups and 2-rational characters
• Characters of Solvable and Symplectic Groups

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