Lei Wang

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20242026

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math.GR2026

On the regularity of irreducible subgroups of finite classical groups

Timothy C. Burness, Lei Wang

Let $G$ be a finite group and let $I ¨ = (H_{1}, \dots, H_{t})$ be a $t$ -tuple of core-free subgroups of $G$ . We say that $I ¨ $ is regular if $G$ contains elements $g_{1}, \dots, g_{t}$ suc…

math.GR2025

Lifts of Brauer characters in characteristic two, II

Junwei Zhang, Xuewu Chang, Ping Jin +1

In 2007, J. P. Cossey conjectured that if $G$ is a finite $p$ -solvable group and $I ¨ $ is an irreducible Brauer character of $G$ with vertex $Q$ , then the number of lifts of $I ¨ $ is…

math.GR2024

The Exact Factorizations of Almost Simple Groups

Cai Heng Li, Lei Wang, Binzhou Xia

This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Willi…

math.GR2024

Factorizations of Almost Simple Groups with Applications

Robert M. Guralnick, Cai Heng Li, Lei Wang +1

The classification of factorizations $G = H K$ of finite almost simple groups, proposed by Wielandt in 1979 and pursued through several partial classifications, has remained open in o…