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Primitive parabolic permutation representations for finite symplectic groups

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Algebra and Logic Aims and scope

Ranks, degrees, subdegrees, and double stabilizers of permutation representations for finite symplectic groups are defined on cosets with respect to maximal parabolic subgroups.

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References

  1. V. V. Korableva, “The ranks of primitive parabolic permutation representations of the simple groups B l (q), C l (q), and D l (q),” Sib. Mat. Zh., 49, No. 2, 340–356 (2008).

    MathSciNet  Google Scholar 

  2. V. V. Korableva, “Parabolic permutation representations of the group F 4(q),” Trudy Inst. Mat. Mekh. UrO RAN, 5, 39-59 (1998).

    Google Scholar 

  3. V. V. Korableva, “Parabolic permutation representations of groups E 6(q) and E 7(q),” in Combinatorial and Computational Methods in Mathematics [in Russian], Omsk Univ., Omsk (1999), pp. 160–189.

    Google Scholar 

  4. V. V. Korableva, “Parabolic permutation representations of groups E 8(q),” Dep. VINITI 29.10.99, No. 3224-B99, Chelyabinsk (1999).

  5. V. V. Korableva, “Parabolic permutation representations of groups 2 F 4(q) and 3 D 4(q 3),” Mat. Zametki, 67, No. 1, 69-76 (2000).

    MathSciNet  Google Scholar 

  6. V. V. Korableva, “Parabolic permutation representations of groups 2 E 6(q),” Mat. Zametki, 67, No. 6, 899–912 (2000).

    MathSciNet  Google Scholar 

  7. V. V. Korableva, “Ranks of primitive parabolic permutation representations of classical groups A l (q) of Lie type,” Trudy Inst. Mat. Mekh. UrO RAN, 7, No. 2, 188–193 (2001).

    MathSciNet  Google Scholar 

  8. V. V. Korableva, “Primitive parabolic permutation representations of simple groups A l (q),” Trudy Inst. Mat. Mekh. UrO RAN, 14, No. 4, 70–81 (2008).

    Google Scholar 

  9. V. V. Korableva, “Primitive parabolic permutation representations of finite special linear and unitary groups,” Trudy Inst. Mat. Mekh. UrO RAN, 15, No. 2, 114–124 (2009).

    Google Scholar 

  10. V. D. Mazurov, “Minimal permutation representations of finite simple classical groups. Special linear, symplectic, and unitary groups,” Algebra Logika, 32, No. 3, 267–287 (1993).

    MATH  MathSciNet  Google Scholar 

  11. P. Kleidman and M. Liebeck, The Subgroup Structure of the Finite Classical Groups, London Math. Soc. Lect. Note Ser., 129, Cambridge Univ., Cambridge (1990).

    MATH  Google Scholar 

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Correspondence to V. V. Korableva.

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Supported by RFBR (project No. 07-01-00148). (V. V. Korableva)

Translated from Algebra i Logika, Vol. 49, No. 3, pp. 366–378, May–June, 2010.

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Korableva, V.V. Primitive parabolic permutation representations for finite symplectic groups. Algebra Logic 49, 246–255 (2010). https://doi.org/10.1007/s10469-010-9093-6

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