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math.GR2025
On -parts of conjugacy class sizes and the index of the -core
Yu Zeng, Jinbao Li, Yong Yang
For a prime and an arbitrary finite group , we show that if does not divide the size of each conjugacy class of \emph{-regular} element (element of order not divi…
math.CO2025
Proof of a conjecture of Green and Liebeck on codes in symmetric groups
Teng Fang, Jinbao Li
Let and be subsets of a finite group and a positive integer. If for every , there are precisely pairs such that , then is…