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

Gabriel Navarro; Pham Huu Tiep

doi:10.1017/fmp.2021.1

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

Gabriel Navarro
, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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 p = 2, 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 language	English (US)
Article number	e2
Journal	Forum of Mathematics, Pi
Volume	9
DOIs	https://doi.org/10.1017/fmp.2021.1
State	Published - Feb 15 2021

ASJC Scopus subject areas

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

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10.1017/fmp.2021.1

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AB - 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 p = 2, 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.

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DO - 10.1017/fmp.2021.1

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VL - 9

JO - Forum of Mathematics, Pi

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

Abstract

ASJC Scopus subject areas

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