Title of article
Finite groups have even more centralizers
Author/Authors
Jafarian Amiri، Seyyed Majid نويسنده Department of Mathematics, Faculty of Sciences, University of Zanjan , , Amiri، Mohsen نويسنده Department of Mathematics, Faculty of Sciences, University of Zanjan , , Madadi، Halimeh نويسنده Department of Mathematics, Faculty of Sciences, University of Zanjan , , Rostami، Hojjat نويسنده Department of Mathematics, Faculty of Sciences, University of Zanjan ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
9
From page
1423
To page
1431
Abstract
For a finite group $G$, let $Cent(G)$ denote the set of centralizers of single elements of $G$. In this note we prove that if $|G|\leq \frac{3}{2}|Cent(G)|$ and $G$ is 2-nilpotent, then $G\cong S_3, D_{10}$ or $S_3\times S_3$. This result gives a partial and positive answer to a conjecture raised by A. R. Ashrafi [On finite groups with a given number of centralizers, {\em Algebra
Colloq.} {7} (2000), no. 2, 139--146].
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2389090
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