Author/Authors :
Rahbariyan, Sakineh Department of Mathematics - Faculty of Sciences Arak University - Arak, Iran , Azad, Azizollah Department of Mathematics - Faculty of Sciences Arak University - Arak, Iran
Abstract :
For a group G, e(G) and sm(G) are denoted the set of orders of elements and
the number of elements of order m in G, respectively. Let nse(G) = fsm(G) j m 2 e(G)g.
An arbitrary nite group M is NSE characterization if, for every group G, the equality
nse(G) = nse(M) implies that G
=
M. In this paper, we are going to show that the non-
Abelian nite simple groups A9, A10, A12, U4(3), U5(2), U6(2), S6(2), O+
8 (2) and HS are
characterizable by NSE.
