A reduction theorem for the Galois-McKay conjecture Articles uri icon

authors

  • NAVARRO, GABRIEL
  • SPÄTH, BRITTA
  • VALLEJO RODRIGUEZ, CAROLINA

publication date

  • June 2020

start page

  • 6157

end page

  • 6183

issue

  • 9

volume

  • 373

International Standard Serial Number (ISSN)

  • 0002-9947

abstract

  • We introduce Eta-triples and a partial order relation on them, generalizing the theory of ordering character triples developed by Navarro and Späth. This generalization takes into account the action of Galois automorphisms on characters and, together with previous results of Ladisch and Turull, allows us to reduce the Galois-McKay conjecture to a question about simple groups.

keywords

  • galois action on characters; galois--mckay conjecture; reduction theorem