NSE characterization of projective special linear group L-3(7)

作者：Liu Shitian^*

来源：Kuwait Journal of Science, 2014, 41(2): 95-106.

• Element order
• projective special linear group
• Thompson ' s problem
• number of elements of the same order
• simple group

Let G be a group and omega(G) be the set of element orders of G. Let k is an element of omega(G) and s(k) be the number of elements of order k in G. Let nse (G) = {s(k)/k is an element of omega(G)}. In Khatami et al and Liu's works, the groups L-3(2), L3(4) and L-3(5) are unique determined by nse (G). In this paper, we prove that if G is a group such that nse (G)= nse(L-3 (7)), then G congruent to L-3(7).d

• 出版日期2014-5
• 单位四川大学