【目的】为了弱化有限单群数量刻画的数量条件。【方法】用第一ONC-度量ONC_1(G)刻画了李型单群L_2(q)(q=11,13,16,19,23,25,29)。【结果】证明了L_2(q)(q=11,13,19,23,29)可以由ONC_1(G)唯一确定,并给出了在条件ONC_1(G)=ONC_1(L2(q))(q=16,25)下,G的分类。【结论】结果说明不是所有李型单群L_2(q)都可以ONC-刻画。
[Purposes]It aims to find fewer numbers to characterize a finite simple group.[Methods]Simple groups L_2(q)(q=11,13,16,19,23,25,29)are characterized only by ONC_1(G).[Findings]L2(q),(q=11,13,19,23,29)can be uniquely determined by ONC_1(G),and the classifications of groups Gare given under the condition ONC_1(G)=ONC_1(L_2(q))(q=16,25).[Conclusions]The present study showed that not all simple group L_2(q)can be ONC-Characterized.