The largest character degree, conjugacy class size and subgroups of finite groups

DOI10.1080/00927872.2017.1376211zbMath1402.20016OpenAlexW2755589656MaRDI QIDQ4567857

Yong Yang, Guohua Qian

Publication date: 20 June 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2017.1376211

zbMATH Keywords

conjugacy class sizecharacter degree

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) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Large orbit sizes in finite group actions ⋮ The largest conjugacy class size and the nilpotent subgroups of finite groups

Uses Software

• GAP

Cites Work

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• The largest lengths of conjugacy classes and the Sylow subgroups of finite groups.
• Blocks of defect zero in finite simple groups of Lie type
• The largest character degree and the Sylow subgroups of finite groups.
• On the commuting probability in finite groups.
• Large orbits in actions of nilpotent groups
• Large orbits in coprime actions of solvable groups
• The Fitting subgroup of a linear solvable group

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