Solvability of generalized monomial groups

DOI10.1515/JGT.2009.047zbMath1200.20005arXiv0901.3441OpenAlexW2016483657MaRDI QIDQ3552304

Joachim König

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3441

zbMATH Keywords

finite solvable groupsfinite simple groupsArtin \(L\)-seriesSinger cyclesM-groupsgeneralized monomial groupsmonomial characters

Mathematics Subject Classification ID

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

Related Items (3)

\(\mathscr{P}\)-characters and the structure of finite solvable groups ⋮ On a generalization of monomial groups ⋮ Heilbronn characters

Cites Work

• On the maximal subgroups of the finite classical groups
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• Generation of exceptional groups of Lie-type
• Singer-Zyklen in klassischen Gruppen
• Generation of classical groups
• Prime power graphs for groups of Lie type
• Maximal overgroups of Singer elements in classical groups
• Probabilistic generation of finite simple groups
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• Centralizers of Semisimple Elements in the Finite Classical Groups
• Artin’s conjecture for representations of octahedral type
• Steinberg Characters
• On a class of doubly transitive groups

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