• CHANGGUO SHAO

Articles written in Proceedings – Mathematical Sciences

• Conjugacy Class Sizes and Solvability of Finite Groups

Let 𝐺 be a finite group and $G^∗$ be the set of primary, biprimary and triprimary elements of 𝐺. We prove that if the conjugacy class sizes of $G^∗$ are $\{1,m,n,mn\}$ with positive coprime integers 𝑚 and 𝑛,then 𝐺 is solvable. This extends a recent result of Kong (Manatsh. Math. 168(2)(2012) 267–271).

• A new characterization of 𝐿2(𝑝) by NSE

In this paper we give a new characterization of simple group 𝐿2(𝑝) with 𝑝 a prime by both its order and 𝑛𝑠𝑒(𝐿2(𝑝)), the set of numbers of elements of 𝐿2(𝑝) with the same order.

• Finite groups with exactly one composite conjugacy class size

A composite number is a positive integer that has at least one divisor integerother than 1 and itself. In this paper, we give a detailed structural description of a group if it has a unique composite conjugacy class size.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019