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A characterization theorem for sporadic simple groups

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Abstract

We show that each sporadic simple group G can be uniquely determined by the set of the orders of the maximal abelian subgroups of G.

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References

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

  2. Chen G. Y., “A characterization of alternating groups by the set of orders of maximal abelian subgroups,” Siberian Math. J., 47, No. 3, 594–596 (2006).

    Article  MathSciNet  Google Scholar 

  3. Chen G. Y., “On Thompson’s conjecture,” J. Algebra, 185, 184–193 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  4. Chen G. Y., “A new characterization of sporadic simple groups,” Algebra Colloq., 3, No. 1, 49–58 (1996).

    MATH  MathSciNet  Google Scholar 

  5. Williams J. S., “Prime graph components of finite groups,” J. Algebra, 69, 487–513 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  6. Chen G. Y., “On the Frobenius and 2-Frobenius group,” J. Southwest China Normal Univ., 20, No. 5, 485–487 (1995).

    Google Scholar 

  7. Kondrat’ev A. S., “Prime graph components of finite simple groups,” Math. USSR-Sb., 67, No. 1, 235–247 (1990).

    Article  MATH  MathSciNet  Google Scholar 

  8. Shi W. J., “The characterization of the sporadic simple groups by their element orders,” Algebra Colloq., 1, No. 2, 159–166 (1990).

    Google Scholar 

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Correspondence to Zhangjia Han.

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Original Russian Text Copyright © 2008 Han Z., Chen G., and Guo X.

The authors were supported by the NSFC (No. 10771172), the SRF of the CUIT (No. CRF200530), and the Research Grant of Shanghai University.

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Shanghai; Chongqing. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1430–1440, November–December, 2008.

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Han, Z., Chen, G. & Guo, X. A characterization theorem for sporadic simple groups. Sib Math J 49, 1138–1146 (2008). https://doi.org/10.1007/s11202-008-0111-z

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  • DOI: https://doi.org/10.1007/s11202-008-0111-z

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