English

A reduction theorem for the Galois-McKay conjecture

Representation Theory 2019-06-28 v1 Group Theory

Abstract

We generalize the theory of ordering character triples, developed by Navarro and Sp\"ath, by taking into account the action of Galois automorphisms on characters. This new technique, together with previous results of Ladisch and Turull, allows us to reduce the Galois--McKay conjecture to a question about simple groups.

Keywords

Cite

@article{arxiv.1906.11719,
  title  = {A reduction theorem for the Galois-McKay conjecture},
  author = {Gabriel Navarro and Britta Späth and Carolina Vallejo},
  journal= {arXiv preprint arXiv:1906.11719},
  year   = {2019}
}

Comments

30 pages

R2 v1 2026-06-23T10:05:34.509Z