Publications de l'Institut Mathématique, Nouvelle SérieVol. 98(112), pp. 265–270 (2015)
|
|
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 quasi-Frobenius 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)
Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.
© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
|