A NEW CHARACTERIZATION OF THE ALTERNATING GROUP \(A_{8}\) BY ITS ORDER AND LARGE DEGREES OF ITS IRREDUCIBLE CHARACTER
Keywords:
finite group, irreducible character, simple group, character degreeAbstract
It is well-known that characters of a finite group can give information about its structure. Also it is known that a finite simple group can uniquely determined by its character table. Here the authors attempt to investigate how to characterize a finite group by using less information of its character table, and successfully characterize the alternating group A8 by its order and at most two irreducible character degrees of the character table.
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Copyright (c) 2016 Yanxiong Yan, Yuming Feng, Lili Li, Haijing Xu

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

