A characterization of $L_2(81)$ by nse
Let $pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)={m_nmid ninpi_e(G)}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $Gcong L_2(81)$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2016-03-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/article_5843_2a42ff7ced0280cc4820db4840f4709b.pdf |