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math.GR2022
On the local rank of fusion systems
Jun Liao, Heguo Liu, Baoshan Wang +1
In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work…
math.RT2022
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…