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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 306–311
(Mi smj2307)
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This article is cited in 4 scientific papers (total in 4 papers)
A new characterization of the simple group $A_1(p^n)$
L. Lia, G. Chenb a 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.
Received: 05.11.2009 Revised: 21.09.2011
Citation:
L. Li, G. Chen, “A new characterization of the simple group $A_1(p^n)$”, Sibirsk. Mat. Zh., 53:2 (2012), 306–311; Siberian Math. J., 53:2 (2012), 243–247
Linking options:
https://www.mathnet.ru/eng/smj2307 https://www.mathnet.ru/eng/smj/v53/i2/p306
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Abstract page: | 288 | Full-text PDF : | 70 | References: | 45 | First page: | 2 |
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