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QINHUI JIANG
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Volume 123 Issue 2 May 2013 pp 239-244
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). -
Volume 125 Issue 4 November 2015 pp 507-510
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.
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Volume 130 All articles Published: 10 January 2020 Article ID 0005 Research Article
Finite groups with exactly one composite conjugacy class size
QINHUI JIANG CHANGGUO SHAO YAN ZHAO
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.
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Proceedings – Mathematical Sciences
Volume 130, 2020
All articles
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