Clifford correspondences and irreducible restrictions of characters

2018/06/09 by Wilde, Tom
#20C15 (Primary) #20D15 (Secondary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1806.03470

Abstract

For a finite group G and complex character χ\inIrr(G) that restricts irreducibly to a normal subgroup N\vartriangleleft G, we prove a theorem about Clifford correspondences between the characters of subgroups of G that induce χ.

Related

• Clifford theory of characters in induced blocks
• Irreducible character degrees and normal subgroups
• Normal p-complements and irreducible character codegrees
• Character correspondences above fully ramified sections and Schur indices
• Restriction of characters and products of characters