Certain irreducible characters over a normal subgroup

2016/09/01 by Gabriel Navarro, Navarro, Gabriel, Noelia Rizo +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT

paper · pdf · doi:10.48550/arxiv.1609.00262

To appear in J. Group Theory

arxiv created 2016/09/01 · arxiv updated 2016/09/02

Abstract

We extend the Howlett-Isaacs theorem on the solvability of groups of central type taking into account actions by automorphisms. Then we study certain induced characters whose constituents have all the same degree.

Related

• Irreducible character degrees and normal subgroups
• Character correspondeces in solvable groups with a self-normalizing Sylow subgroup
• Action of automorphisms on irreducible characters of groups of type \textsfA
• Clifford correspondences and irreducible restrictions of characters
• Cuspidal characters and automorphisms