3 papers
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…
math.GR2020
On some conjectures related to finite nonabelian simple groups
Jinbao Li, Wujie Shi
In this note we provide some counterexamples for the conjecture of Moretó on finite simple groups, which says that any finite simple group can determined in terms of its order…