Characterization of \mathbf{L_۲(p^۲)} by NSE

Let G be a group and \pi(G) be the set of primes p such that G contains an element of order p. Let nse(G) be the set of the number of elements of the same order in G. In this paper, we prove that the simple group L_۲(p^۲) is uniquely determined by nse(L_۲(p^۲)), where p\in\{۱۱,۱۳\}‎.‎

کلیدواژه ها:

Element order ، The set of the number of elements of the same order ، Simple K_n-group ، Projective special linear ‎group