Leila Mousavi - Department of Mathematical Sciences; Isfahan University of Technology; Isfahan ۸۴۱۵۶-۸۳۱۱۱; Iran.
Bijan Taeri - Department of Mathematical Sciences;, Isfahan University of Technology

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_۲(۸۱))‎, ‎then G\cong L_۲(۸۱)‎.

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