On the average character degree and the average class size in finite groups.

DOI10.1016/j.jalgebra.2014.11.005zbMath1311.20005OpenAlexW2074653274MaRDI QIDQ479801

Guohua Qian

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.11.005

zbMATH Keywords

finite groupsaverage character degreesaverage class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (15)

The degrees of non-monomial characters and solvability of a finite group ⋮ On the average degree of some irreducible characters of a finite group ⋮ The average character degree of finite groups and Gluck's conjecture ⋮ The average conjugacy class size and the Hall π-subgroups in π-solvable groups ⋮ A generalization of Taketa’s theorem on M-groups ⋮ The average character degree and \(r\)-solvability of a normal subgroup ⋮ On the average codegree of a finite group ⋮ On the character degree sums ⋮ Even character degrees and normal Sylow 2-subgroups ⋮ Variations on average character degrees and \(p\)-nilpotence ⋮ Average number of zeros of characters of finite groups ⋮ On the sum of character degrees coprime to \(p\) and \(p\)-nilpotency of finite groups ⋮ Two results on the character degree sums ⋮ On the \({p}\)-closedness and \({p}\)-nilpotency of finite groups ⋮ Finite groups with few character zeros

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