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A new characterization of the simple group A 1(p n)

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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).

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References

  1. Wang Linhong, A Characterization of Some Classes of Finite Simple Groups, Thesis for Master of Science, Southwest China Normal University (2000).

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Correspondence to G. Chen.

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Original Russian Text Copyright © 2012 Li L. and Chen G.

The authors were supported by the NSFC (Grants 11171364 and 11001226) and Graduate-Innovation Funds of SWU(ky2009013).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 2, pp. 306–311, March–April, 2012.

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Li, L., Chen, G. A new characterization of the simple group A 1(p n). Sib Math J 53, 243–247 (2012). https://doi.org/10.1134/S0037446612020073

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  • DOI: https://doi.org/10.1134/S0037446612020073

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