The fields of values of characters of degree not divisible by p

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

Abstract

We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple groups.

Original languageEnglish (US)
Article numbere2
JournalForum of Mathematics, Pi
DOIs
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Keywords

  • 2020 Mathematics Subject Classification
  • 20C15
  • 20C33

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