activity
20162026
most citedThe Exact Factorizations of Almost Simple Groups

4 citations · 7 across the 15 of their papers we have counts for

collaborators

15 papers

math.GR2026

On the regularity of irreducible subgroups of finite classical groups

Timothy C. Burness, Lei Wang

Let be a finite group and let be a -tuple of core-free subgroups of . We say that is regular if contains elements such…

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 is a finite -solvable group and is an irreducible Brauer character of with vertex , then the number of lifts of is a…

math.GR2024

Factorizations of Almost Simple Groups with Applications

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

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

math.GR2023

Navarro vertices and lifts in solvable groups

Lei Wang, Ping Jin

Let be a -subgroup of a finite -solvable group , where is a prime, and suppose that is a linear character of with the property that whenever $x…

math.GR2022

The uniqueness of vertex pairs in -separable groups

Lei Wang, Ping Jin

Let be a finite -separable group, where is a set of primes, and let be an irreducible complex character that is a -lift of some -partial character of .It wa…

math.GR2022

Factorizations of almost simple orthogonal groups of plus type

Cai Heng Li, Lei Wang, Binzhou Xia

This is the fifth one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with orthogonal groups of plus ty…

math.GR2021

Codegrees of primitive characters of solvable groups

Ping Jin, Lei Wang, Yong Yang

We obtain the codegree of a certain primitive character for a finite solvable group, and thereby give a negative answer to a question proposed by Moretó in \cite{Moreto}.

math.GR2021

Factorizations of almost simple orthogonal groups of minus type

Cai Heng Li, Lei Wang, Binzhou Xia

This is the fourth one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with orthogonal groups of minus…

math.GR2021

Factorizations of almost simple orthogonal groups in odd dimension

Cai Heng Li, Lei Wang, Binzhou Xia

This is the third one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with orthogonal groups in odd dim…

math.GR2021★ 1 cited

Factorizations of almost simple unitary groups

Cai Heng Li, Lei Wang, Binzhou Xia

This is the second one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with almost simple unitary group…

math.GR2021★ 2 cited

Factorizations of almost simple linear groups

Cai Heng Li, Lei Wang, Binzhou Xia

This is the first one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with almost simple linear groups.

math.GR2020★ 4 cited

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.GR2016

On the automorphism groups of Frobenius Groups

Lei Wang

This is one of a series papers which aim towards to solve the problem of determining automorphism groups of Frobenius groups. This one solves the problem in the case where the Frob…

math.GR2016

Finite groups with coprime fixed-point-free automorphisms and applications

Lei Wang, Yin Liu

We study a class of finite groups which behave similarly to elementary abelian -groups with prime, that is, there exists a subgroup such that all elements of $G\setm…

math.GR2016

Tetravalent edge-transitive Cayley graphs of Frobenius groups

Lei Wang

In this paper, we give a characterization for a class of edge-transitive Cayley graphs, and provide methods for constructing Cayley graphs with certain symmetry properties. Also th…