A NEW CHARACTERIZATION OF THE ALTERNATING GROUP \(A_{8}\) BY ITS ORDER AND LARGE DEGREES OF ITS IRREDUCIBLE CHARACTER

Authors

  • Yanxiong Yan Southwest Chongqing University - School of Mathematics and Statistics
  • Yuming Feng Chongqing Three Gorges University - School of Mathematics and Statistics
  • Lili Li Lingnan Normal University - School of Mathematics and Computation Science
  • Haijing Xu Chongqing Southwest University - School of Mathematics and Statistics

Keywords:

finite group, irreducible character, simple group, character degree

Abstract

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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Published

2016-07-29

How to Cite

Yan, Y., Feng, Y., Li, L., & Xu, H. (2016). A NEW CHARACTERIZATION OF THE ALTERNATING GROUP \(A_{8}\) BY ITS ORDER AND LARGE DEGREES OF ITS IRREDUCIBLE CHARACTER. Italian Journal of Pure and Applied Mathematics, 36, 257–264. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6631

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Yanxiong Yan, Yuming Feng, Lili Li, Haijing Xu

Creative Commons License

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)

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