Abstract
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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Supported by Natural Science Foundation of China (Grant Nos. 11171364, 11271301, 11471266 and 11426182), by “the Fundamental Research Funds for the Central Universities” (Grant Nos. XDJK2014C163, XDJK2014C162), by Natural Science Foundation Project of CQ CSTC (Grant No. cstc2014jcyjA00010), Postdoctoral Science Foundation of Chongqing (Grant No. Xm2014029) and China Postdoctoral Science Foundation (Grant No. 2014M562264)
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Yan, Y.X., Xu, H.J. & Chen, G.Y. A characterization of almost simple K 3-groups. Acta. Math. Sin.-English Ser. 31, 1739–1750 (2015). https://doi.org/10.1007/s10114-015-4438-7
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DOI: https://doi.org/10.1007/s10114-015-4438-7