PreprintCC BY-NC-ND 4.0arXiv
Brauer character degrees and nilpotent subgroups
Abstract
We solve a question raised by Chen and Navarro concerning Brauer characters and nilpotent subgroups. Let Nlhd G, assume that G/N is solvable, and let N≤ H≤ G with H/N nilpotent. We prove that for every irreducible ℓ-Brauer character θ of H there exists an irreducible ℓ-Brauer character χ of G such that θ is a constituent of χH and χ(1) divides $|G:H|θ(1)$.
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BibTeX
@misc{yang2026brauer,
title = {{Brauer character degrees and nilpotent subgroups}},
author = {Yong Yang},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.31063},
eprint = {2608.31063},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.31063},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Brauer character degrees and nilpotent subgroups
AU - Yong Yang
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.31063
UR - https://arxiv.org/abs/2608.31063
AB - We solve a question raised by Chen and Navarro concerning Brauer characters and nilpotent subgroups. Let Nlhd G, assume that G/N is solvable, and let N≤ H≤ G with H/N nilpotent. We prove that for every irreducible ℓ-Brauer character θ of H there exists an irreducible ℓ-Brauer character χ of G such that θ is a constituent of χ_H and χ(1) divides $|G:H|θ(1)$.
ER -