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On the ϕ-structure on the projective groupL 2(q)

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Abstract

In the paper it is proved that the projective groupL 2(q) cannot be the automorphism group of a finite left distributive quasigroup. This is a special case of the conjecture according to which the automorphism group of a left distributive quasigroup is solvable.

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References

  1. V. M. Galkin, “Left distributive quasigroups of finite order,” in:Quasigroups and Loops [in Russian], Kishinev (1973).

  2. V. M. Busarkin and Yu. M. Gorchakov,Finite Groups that Admit Partitions [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  3. Seminar on Algebraic Groups and Related Finite Groups (Inst. for Advanced Study, Princeton, N.J., 1968/69), Lecture Notes in Math., Vol. 131, Springer-Verlag, Berlin (1970).

  4. J. A. Dieudonné,La géométrie des groupes classiques, Springer-Verlag, Berlin-New York (1971).

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  5. R. Steinberg,Lectures on Chevalley Groups, Yale Univ. Math. Dept., Yale (1968).

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Authors and Affiliations

  1. Nizhnii Novgorod State Technical University, USSR

    S. V. Leshcheva & O. V. Suvorova

Authors
  1. S. V. Leshcheva
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  2. O. V. Suvorova
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Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 725–728, May, 1998.

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Leshcheva, S.V., Suvorova, O.V. On the ϕ-structure on the projective groupL 2(q). Math Notes 63, 638–640 (1998). https://doi.org/10.1007/BF02312845

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  • DOI: https://doi.org/10.1007/BF02312845

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