Hall $π$-subgroups and characters of $π'$-degree

Fuente: arXiv
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Auteurs principaux: Giannelli, Eugenio, Hung, Nguyen N.
Format: Preprint
Publié: 2026
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author Giannelli, Eugenio
Hung, Nguyen N.
author_facet Giannelli, Eugenio
Hung, Nguyen N.
contents We study the relationship between the existence of Hall $π$-subgroups and that of irreducible characters of $π'$-degree with prescribed fields of values in finite groups. This work extends a result of Navarro and Tiep from a single odd prime to multiple odd primes.
format Preprint
id arxiv_https___arxiv_org_abs_2601_01544
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hall $π$-subgroups and characters of $π'$-degree
Giannelli, Eugenio
Hung, Nguyen N.
Representation Theory
Group Theory
We study the relationship between the existence of Hall $π$-subgroups and that of irreducible characters of $π'$-degree with prescribed fields of values in finite groups. This work extends a result of Navarro and Tiep from a single odd prime to multiple odd primes.
title Hall $π$-subgroups and characters of $π'$-degree
topic Representation Theory
Group Theory
url https://arxiv.org/abs/2601.01544