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

Eugenio Giannelli; Hung Ngoc Nguyen

doi:10.48550/arxiv.2601.01544

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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Eugenio Giannelli, Hung Ngoc Nguyen

DOI: 10.48550/arxiv.2601.01544

Cited by: 0

Abstract

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.

Fields of Study & Subjects

Finite Group Theory Research Algebraic Geometry and Number Theory Advanced Mathematical Identities

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 4 January 2026
Document type: Preprint