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A 3-local characterization of M(24)

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Abstract

We identify M(24) by the structure of the normalizer of a 3-central element. Also as a corollary we identify M(24) by two of its 3-local subgroups.

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References

  1. Aschbacher M., 3-Transposition Groups, Cambridge Univ. Press, Cambridge (1997).

    MATH  Google Scholar 

  2. Salarian M. R., “A 3-local characterization of Fi24,” J. Algebra, vol. 324, 2804–2813 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. Salarian M. R., “A 2-local characterization for M(24)’,” Monatsh. Math., vol. 167, no. 3, 583–588 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  4. Conway J. H., Curtis R. T., Norton S. P., Parker R. A., and Wilson R. A., Atlas of Finite Groups, Clarendon Press, Oxford 1985).

    MATH  Google Scholar 

  5. Aschbacher M., Finite Group Theory, Cambridge Univ. Press, Cambridge 1986).

    MATH  Google Scholar 

  6. Meierfrankenfeld U. and Stroth G., Groups of Local Characteristic p. The H-Structure Theorem [Preprint]; http://conway1.mathematik.uni-halle.de/stroth/.

  7. Meierfrankenfeld U., Stellmacher B., and Stroth G., “Finite groups of local characteristic p: An overview,” in: Proc. Durham Conf. Finite Groups, World Sci. Publ., River Edge, NJ, 2003, 1–39.

    Google Scholar 

  8. Parker Ch., “A 3-local characterization of U 6(2) and Fi 22,” J. Algebra, vol. 300, no. 2, 707–728 (2006).

    Article  MathSciNet  MATH  Google Scholar 

  9. Reifart A., “Some simple groups related to M 24,” J. Algebra, vol. 45, no. 1, 199–209 (1977).

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to M. R. Salarian.

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Karaj/Tehran. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 2, pp. 399–405, March–April, 2017; DOI: 10.17377/smzh.2017.58.213.

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Salarian, M.R. A 3-local characterization of M(24). Sib Math J 58, 305–309 (2017). https://doi.org/10.1134/S0037446617020136

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  • DOI: https://doi.org/10.1134/S0037446617020136

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