A characterization of L2(81) by nse

نویسندگان
Mehranian, Zeinab ID 1
Gholami, Ahmad ID 2
Ashrafi, Ali Reza ID 3

1 Univ Qom

2 Univ Qom

3 University of Kashan

doi
10.22108/ijgt.2016.5843
چکیده

Let $\pi_e(G)$ be the set of element orders of a finite group $G$‎. ‎Let $nse(G)=\{m_n\mid n\in\pi_e(G)\}$‎, ‎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 $G\cong L_2(81)$‎.

کلیدواژه‌ها
‎set of the numbers of elements of the same order‎, ‎order of an element‎, ‎Thompson's problem