李型单群 L5（2）的新刻画
On a New Characterization of Lee Type Simple Group L5 (2)
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摘要: 众所周知，有限群的特征标表能给出群结构的许多重要的信息，如有限非交换单群能够被特征标表唯一决定。利用有限群的特征标表的信息来刻画单群，并证明了李型单群 L5（2）能够被它的阶和次高维不可约特征标维数决定。Abstract: It is a well-known fact that characters of a finite group can give some important information of the group's structure .For example ,some people have proved that a finite simple group can be uniquely de-termined by its character table .Here the authors attempt to investigate how to characterize a finite almost simple group by means of less information of its character table ,and successfully characterize simple group L5 (2) by their orders and the second largest irreducible character degrees of their character tables .
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