On Gluck's conjecture

DOI10.1016/j.bulsci.2023.103235OpenAlexW4318567281WikidataQ123163309 ScholiaQ123163309MaRDI QIDQ2692166

Yanyan Li

Publication date: 21 March 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08073

zbMATH Keywords

solvable groupscharacter degreeGluck's conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items (2)

Monomial characters and the index of the Fitting subgroup of a solvable group ⋮ The average character degree of finite groups and Gluck's conjecture

Uses Software

• GAP

Cites Work

• Regular orbits of finite primitive solvable groups. II.
• Large character degrees of groups of odd order
• Regular orbits of finite primitive solvable groups
• Large orbits of supersolvable linear groups
• Orbit sizes, character degrees and Sylow subgroups.
• Orbit sizes and odd order composition factors of finite linear groups
• Arithmetical conditions of orbit sizes of linear groups of odd order
• Large orbit sizes in finite group actions
• On a conjecture of Gluck.
• Large character degrees of solvable groups with Abelian Sylow 2-subgroups.
• Large character degrees of solvable 3’-groups
• The largest Irreducible Character Degree of a Finite Group
• The Minimal Base Size of Primitive Solvable Permutation Groups
• Large orbits in coprime actions of solvable groups
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