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arXiv · 2503.06429

Lifts of Brauer characters in characteristic two, II

Junwei Zhang·Xuewu Chang·Ping Jin·Lei Wang
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Abstract

In 2007, J. P. Cossey conjectured that if $G$ is a finite $p$-solvable group and $\varphi$ is an irreducible Brauer character of $G$ with vertex $Q$, then the number of lifts of $\varphi$ is at most $|Q:Q'|$. In this paper we revisited Cossey's conjecture for $p=2$ from the perspective of Navarro vertices and obtained a new way to count the number of lifts of $\varphi$. Some applications were given.

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Junwei Zhang, Xuewu Chang, Ping Jin, Lei Wang. 2025-03-09. Lifts of Brauer characters in characteristic two, II. https://arxiv.org/abs/2503.06429

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