The McKay conjecture and Brauer's induction theorem

Anton Evseev

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
206 Downloads (Pure)


Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normalizer NG (P) of a Sylow p-subgroup P in G have the same number of characters of degree not divisible by p (that is, of p′-degree). We propose a new refinement of the McKay conjecture, which suggests that one may choose a correspondence between the characters of p′-degree of G and NG (P) to be compatible with induction and restriction in a certain sense. This refinement implies, in particular, a conjecture of Isaacs and Navarro. We also state a corresponding refinement of the Broué abelian defect group conjecture. We verify the proposed conjectures in several special cases.
Original languageEnglish
Pages (from-to)1248-1290
JournalLondon Mathematical Society. Proceedings
Issue number6
Early online date4 Jan 2013
Publication statusPublished - Jun 2013


Dive into the research topics of 'The McKay conjecture and Brauer's induction theorem'. Together they form a unique fingerprint.

Cite this