PreprintCC BY-NC-ND 4.0arXiv
Lifts of Brauer characters and vertex pairs for odd primes
Abstract
Let p be an odd prime, let G be a finite p-solvable group, and let φ∈IBrp(G) have vertex Q. We prove that φ has at most |Q:Q'| lifts to ordinary irreducible characters, establishing Cossey's conjecture for odd primes.
Related
- The Brauer A(∞) condition and Navarro's conjecture on Brauer characters under coprime actions
- Gallagher's Theorem for Real-valued Brauer Characters
- One-Vertex Lifts of Looped Circle Graphs: Obstructions and Interlace Polynomials
- Rank-sensitive vertex bounds for semidefinite lifts
- Coprime pairs with equal sum of divisors, assuming smooth shifted primes
BibTeX
@misc{yang2026lifts,
title = {{Lifts of Brauer characters and vertex pairs for odd primes}},
author = {Yong Yang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06903},
eprint = {2611.06903},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06903},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Lifts of Brauer characters and vertex pairs for odd primes
AU - Yong Yang
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06903
UR - https://arxiv.org/abs/2611.06903
AB - Let p be an odd prime, let G be a finite p-solvable group, and let φ∈IBr_p(G) have vertex Q. We prove that φ has at most |Q:Q'| lifts to ordinary irreducible characters, establishing Cossey's conjecture for odd primes.
ER -