EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 193–201 (2016)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home


Pick a mirror



Hosein Parvizi Mosaed, Ali Iranmanesh, Abolfazl Tehranian

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran; Department of Mathematics, Tarbiat Modares University, Tehran, Iran

Abstract: Let $G$ be a group and $\pi(G)$ be the set of primes $p$ such that $G$ contains an element of order $p$. Let $\operatorname{nse}(G)$ be the set of the numbers of elements of $G$ of the same order. We prove that the simple group $L_2(3^n)$ is uniquely determined by $\operatorname{nse}(L_2(3^n))$, where $|\pi(L_2(3^n))|=4$.

Keywords: Element order; set of the numbers of elements of the same order; projective special linear group

Classification (MSC2000): 20D60; 20D06

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

© 2016 Mathematical Institute of the Serbian Academy of Science and Arts
© 2016 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition