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| Recognizing the Automorphism Groups of Mathieu Groups |
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Citation： |
Y. X. Yan,L. C. Zhang,H. J. Xu,G. Y. Chen.Recognizing the Automorphism Groups of Mathieu Groups[J].Chinese Annals of Mathematics B,2016,37(4):495~502 |
| Page view： 1516
Net amount： 1223 |
Authors： |
Y. X. Yan; L. C. Zhang;H. J. Xu;G. Y. Chen |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11426182, 11401324, 11271301, 11471266,
10871032), SRF for ROCS, SEM, the Fundamental Research Funds for the
Central Universities (No.SWU115052), the Natural Science
Foundation Project of CQ CSTC (Nos.cstc2014jcyjA00010,
cstc2014jcyA0148, 2010BB9206) and the National Science Foundation
for Distinguished Young Scholars of China (No.11001226). |
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| Abstract： |
It is a well-known fact that characters of a finite group can give
important information about the structure of the group. It was also
proved by the third author 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 automorphism groups of Mathieu groups by their
orders and at most two irreducible character degrees of their
character tables. |
Keywords： |
Finite group, Character degrees, Irreducible characters, Simple
groups, Mathieu groups |
Classification： |
20C15 |
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