6 papers
The Eaton--Moretó Conjecture Holds True for \(p\)-Solvable Groups
Yanjun Liu, Lizhong Wang, Jiping Zhang +1
In this paper we prove that the Eaton--Moretó conjecture holds true for all -solvable groups.
Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields
Jun Liao, Lizhong Wang, Jiping Zhang
We prove that every finite simple group of Lie type over a field of order at most 8 contains a conjugacy class whose square is the whole group. Together with the previously establi…
Control of fusion by elementary abelian subgroups of rank at least 2
Lizhong Wang, Xingzhong Xu, Jiping Zhang
In this paper, we focus on the subgroups control -fusion, and we improve the Theorem B of [4] for odd prime. For odd prime, we prove that elementary abelian subgroups of rank at…
Character triples and relative defect zero characters
Junwei Zhang, Lizhong Wang, Ping Jin
Given a character triple , which means that is a finite group with and is -invariant, we introduce the notion of a -qua…
On polynomial representations of finite groups
Lizhong Wang, Jiping Zhang
By generalizing Frobenius' polynomial method to good partition algebra, we will develop new character theories for a finite group . A uniform defining equations are derived for…
Relatively Projectivity and the Green correspondence for complexes
Jon F. Carlson, Lizhong Wang, Jiping Zhang
We investigate a version of the Green correspondence for categories of complexes, including homotopy categories and derived categories. The correspondence is an equivalence between…