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math.GR2026
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…
math.GR2024
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…
math.GR2024
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…