Frobenius \(\mathbb Q_1\)-groups.

DOI10.1007/S00013-015-0834-6zbMath1337.20004OpenAlexW2466006669MaRDI QIDQ896031

N. E. Zubov

Publication date: 11 December 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0834-6

zbMATH Keywords

Frobenius groupsirreducible complex charactersrational groupsrational valued characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (6)

Groups with sharp non-linear irreducible characters ⋮ The rationality of Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ A note on the rational non-linear characters of groups ⋮ Metabelian \(\mathbb{Q}_1\)-groups ⋮ Sylow 2-subgroups of solvable \(\mathbb{Q}_1\)-groups ⋮ Unnamed Item

Uses Software

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• Frobenius \(\mathbb{Q}\)-groups.
• Groups with automorphisms that leave only the neutral element fixed
• Structure and representations of Q-groups
• Groups whose non-linear irreducible characters are rational valued.
• The vanishing-off subgroup.
• On the orders of zeros of irreducible characters.
• Normal \(p\)-complements and irreducible characters
• Rational Nonlinear Characters of Metabelian Groups
• Rational irreducible characters and rational conjugacy classes in finite groups
• Endliche Gruppen I

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