A Characterization of Almost Simple K-3-groups

作者:Yan, Yan Xiong; Xu, Hai Jing; Chen, Gui Yun*
来源:Acta Mathematica Sinica-English Series, 2015, 31(11): 1739-1750.
DOI:10.1007/s10114-015-4438-7

摘要

It is a well-known fact that characters of a finite group can give important information about the group's structure. Also it was proved by the third author of this article that a finite simple group can be uniquely determined by its character table. Here the authors attempt to investigate how to characterize a finite almost simple group by using less information of its character table, and successfully characterize the almost simple K-3-groups by their orders and at most three irreducible character degrees of their character tables.

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