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Groupoids of orderq(q±1)/2,q=2r, with automorphism group isomorphic toSL(2,q)

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References

  1. A. P. Il'inykh, “Classification of finite groupoids with 2-transitive automorphism group,” Mat. Sb.,185, No. 6, 51–79 (1994).

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  2. Sverdlovskaya Notebook: Unsolved Problems of Semigroup Theory [in Russian], 2th edit., Sverdlovsk, Ural'sk. Univ. (1979).

  3. A. P. Il'inykh, “Classification of finite 3-nets,” in: Abstracts on Logic and Universal Algebras, Applied Algebra: The International Conference on Algebra Dedicated to the Memory of A. I. Shirshov (Barnaul, 1991), Novosibirsk, 1991, p. 51.

  4. V. N. Galkin, “Quasigroups,” in: Algebra. Topology. Geometry [in Russian], VINITI, Moscow, 1988, pp. 3–44 (Itogi Nauki i Tekhniki,26).

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Authors and Affiliations

  1. Ekaterinburg

    A. P. Il'inykh

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  1. A. P. Il'inykh
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This research was supported by the Russian Foundation for Fundamental Research (Grant 94-01-00802-a).

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 6, pp. 1336–1341, November–December, 1995.

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Il'inykh, A.P. Groupoids of orderq(q±1)/2,q=2r, with automorphism group isomorphic toSL(2,q). Sib Math J 36, 1159–1163 (1995). https://doi.org/10.1007/BF02106838

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  • DOI: https://doi.org/10.1007/BF02106838

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