On p′-degree ℓ-Brauer characters of ℓ-solvable groups
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Published:2023-03-29
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Volume:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Departament de Matemàtiques, Universitat de València, 46100 Burjassot. València, Spain
Abstract
Let [Formula: see text] and [Formula: see text] be distinct primes, let [Formula: see text] be a finite [Formula: see text]-solvable group and let [Formula: see text]. Then [Formula: see text] has a unique irreducible [Formula: see text]-Brauer character of [Formula: see text]-degree lying over [Formula: see text] if and only if [Formula: see text] is an [Formula: see text]-group. This extends a result from [J.[Formula: see text]F.[Formula: see text]Tent, Correspondences of Brauer characters and Sylow subgroup normalizers, J. Algebra 573 (2021) 436–450] to every odd prime [Formula: see text].
Funder
MCIN/AEI
Generalitat Valenciana
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory