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

13 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, 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
DOIs	https://doi.org/10.1017/fmp.2021.1
State	Accepted/In press - 2021

Keywords

2020 Mathematics Subject Classification
20C15
20C33

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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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.",

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AU - Tiep, Pham Huu

N1 - Publisher Copyright: © The Author(s), 2021. Published by Cambridge University Press.

PY - 2021

Y1 - 2021

N2 - 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.

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, 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.

KW - 2020 Mathematics Subject Classification

KW - 20C15

KW - 20C33

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JO - Forum of Mathematics, Pi

JF - Forum of Mathematics, Pi

M1 - e2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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