Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 265–270 (2015) 

Finite groups with three conjugacy class sizes of certain elementsQuinhui Jiang, Changguo ShaoSchool of Mathematics, University of Jinan, Shandong, ChinaAbstract: Let $G$ be a finite group and $m,n$ two positive coprime integers. We prove that the set of conjugacy class sizes of primary and biprimary elements of $G$ is $\{1,m,n\}$ if and only if $G$ is quasiFrobenius with abelian kernel and complement. Keywords: finite groups; conjugacy class sizes; primary and biprimary elements Classification (MSC2000): 20D10; 20E45 Full text of the article: (for faster download, first choose a mirror)
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