Nonsolvable groups with few primitive character degrees

DOI10.1515/jgth-2017-0037zbMath1402.20014OpenAlexW2770352989MaRDI QIDQ1705156

Guohua Qian

Publication date: 14 March 2018

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

Full work available at URL: https://doi.org/10.1515/jgth-2017-0037

zbMATH Keywords

primitive character\(M\)-groupmonomial character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Related Items (3)

The degrees of non-monomial characters and solvability of a finite group ⋮ A generalization of Taketa’s theorem on M-groups ⋮ FINITE GROUPS WITH COMPLEMENTED 2-MINIMAL -SUBGROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a generalization of M-group.
• Finite groups with nonmonomial characters of prime degree.
• Extensions of unipotent characters and the inductive McKay condition.
• Two results related to the solvability of M-groups.
• Degree-problems. I: Squarefree character degrees
• Extending the Steinberg representation
• Connectedness of degree graphs of nonsolvable groups.
• Induced characters which are multiples of irreducibles
• On the Taketa theorem
• Character degrees of extensions of PSL2(q) and SL2(q)
• Generalizations of Taketa's Theorem on the Solvability of M-Groups
• Character degree graphs that are complete graphs
• Imprimitive, Irreducible Complex Characters of the Alternating Group
• Generalizations of M-Groups
• Imprimitive irreducible modules for finite quasisimple groups

This page was built for publication: Nonsolvable groups with few primitive character degrees