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Classification of maximal subgroups of odd index in finite groups with alternating socle

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Abstract

A classification of maximal subgroups of odd index in finite groups with alternating socle is obtained.

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References

  1. M. W. Liebeck and J. Saxl, “The primitive permutation groups of odd degree,” J. London Math. Soc. 31(2), 250–264 (1985).

    Article  MATH  MathSciNet  Google Scholar 

  2. W. M. Kantor, “Primitive permutation groups of odd degree, and an application to the finite projective planes,” J. Algebra 106(1), 15–45 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  3. N. V. Maslova, “Classification of maximal subgroups of odd index in finite simple classical groups,” Proc. Steklov Inst. Math. 267(Suppl. 1), S164–S183 (2009).

    Article  MATH  MathSciNet  Google Scholar 

  4. N. V. Maslova, “Maximal subgroups of odd index in finite groups with simple linear or unitary socle of degree at least 13,” in Algebra and Its Applications: Proceedings of the International Conference (Kabardino-Balkarskii Univ., Nalchick, 2009), pp. 80–82 [in Russian].

    Google Scholar 

  5. N. V. Maslova, “Maximal subgroups of odd index in finite groups with simple symplectic socle of degree at least 13,” in Mal’tsev Meeting: Abstracts of International Conference, Novosibirsk, Russia, 2009 (Inst. Mat. SO RAN and Novosib. State. Univ., Novosibirsk, 2009), p. 69 [in Russian].

    Google Scholar 

  6. N. V. Maslova, “On the maximal subgroups of odd index in finite groups with simple orthogonal socle,” in Problems of Theoretical and Applied Matematics: Abstracts of the 41st All-Russian Young Scientists Conference (Inst. Mat. Mekh. UrO RAN, Yekaterinburg, 2010), pp. 48–52 [in Russian].

    Google Scholar 

  7. J. H. Conway, R. T. Curtis, S. P. Norton, et al., Atlas of Finite Groups (Clarendon, Oxford, 1985).

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  9. M. W. Liebeck, C. E. Praeger, and J. Saxl, “A classification of the maximal subgroups of the finite alternating and symmetric groups,” J. Algebra 111(2), 365–383 (1987).

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    N. V. Maslova

  2. Graduate School of Economics and Management, Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

    N. V. Maslova

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  1. N. V. Maslova
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Correspondence to N. V. Maslova.

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Original Russian Text © N.V.Maslova, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Vol. 16, No. 3.

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Maslova, N.V. Classification of maximal subgroups of odd index in finite groups with alternating socle. Proc. Steklov Inst. Math. 285 (Suppl 1), 136–138 (2014). https://doi.org/10.1134/S0081543814050149

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  • DOI: https://doi.org/10.1134/S0081543814050149

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