This article is cited in 4 papers

A new characterization of the simple group $A_1(p^n)$

L. Li^a, G. Chen<sup>b

a</sup> Mathematics and Computer Science College, Zhanjiang Normal University, Zhanjiang, China
^b School of Mathematics and Statistics, Southwest University, Chongqing, China

Abstract: The simple group $A_1(p^n)$ is proved to be uniquely determined by the set of the orders of the maximal abelian subgroups of $A_1(p^n)$.

Keywords: simple group, maximal abelian subgroup, order component.

UDC: 512.542

Received: 05.11.2009
Revised: 21.09.2011

 English version: Siberian Mathematical Journal, 2012, 53:2, 243–247

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