A NEW CHARACTERIZATION OF SPORADIC SIMPLE GROUPS

Authors

  • Li-Guan He Chongqing Normal University - School of Mathematics
  • Gui-Yun Chen Southwest Chongqing University - School of Mathematics and Statistics
  • Hai-Jing Xu Southwest Chongqing University - School of Mathematics and Statistics

Keywords:

finite group, the largest element order, the second largest element order, sporadic simple group, characterization

Abstract

Let G be a finite group, k1(G) denote the largest element order of G, and k2(G) the second largest element order.  In this paper, we show that each sporadic simple group G can be uniquely determined by the order of G and ki(G), where i ≤ 2.

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Published

2013-05-24

How to Cite

He, L.-G., Chen, G.-Y., & Xu, H.-J. (2013). A NEW CHARACTERIZATION OF SPORADIC SIMPLE GROUPS. Italian Journal of Pure and Applied Mathematics, 30, 373–392. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6068

Issue

Section

Articoli - Forum Editrice