LANDAU’S THEOREM, FIELDS OF VALUES FOR CHARACTERS, AND SOLVABLE GROUPS

DOI10.1017/S144678871600063XzbMath1427.20013arXiv1506.08169OpenAlexW2962925010MaRDI QIDQ4601293

Mark L. Lewis

Publication date: 15 January 2018

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

Full work available at URL: https://arxiv.org/abs/1506.08169

zbMATH Keywords

irreducible characterssolvable groupsLandau's theoremfields of value

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Cites Work

• Characters of \(\pi\)-separable groups
• A characteristic class of characters of finite \(\pi\)-separable groups
• Abelian normal subgroups of M-groups
• Characters and Hall subgroups of groups of odd order
• Elements of prime power order and their conjugacy classes in finite groups
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