MT(G)=(m_1,m_2,…,m_k)is called the type of conjugacy classes of maximal subgroups of finite group G,where m_1≤m_2≤…≤m_k,which implies that G has exactly k classes of conjugate maximal subgroups,and the class length of the i-th conjugacy class is m_i.This paper gives a new characterization of all alternating groups and some symmetric groups by the type of conjugacy classes of maximal subgroups.
【基金】
国家自然科学基金(No.10871021,No.10871032);
“Agencija za raziskovalno dejavnost Republike Slovenije”,proj.mladi raziskovalci,“Agencija za raziskovalno dejevnost Republike Slovenije”.research program P1-0285;
高等学校博士学科点专项科研基金(No.20060285002)资助的项目.
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