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Pronormal regular subgroups of a finite symmetric group

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Abstract

Necessary conditions are given for the pronormality of a regular cyclic subgroup of a finite symmetric group. The degree of their sufficiency is discussed.

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Literature cited

  1. D. A. Suprunenko, Matrix Groups [in Russian], Moscow (1972).

  2. R. I. Tyshkevich, “Relations admitting a transitive group of automorphisms,” Mat. Sb.,97, No. 2, 262–277 (1975).

    Google Scholar 

  3. R. I. Tyshkevich and L. I. Nosov, “Sabidussi's theorems,” Izv. BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 16–21 (1978).

    Google Scholar 

  4. A. Adam, “Research problem 2–10,” J. Comb in. Theory,2, 393 (1967).

    Google Scholar 

  5. L. Babai, “Isomorphism problem for a class of point-symmetric structures,” Acta Math. Hung.,29, Nos. 3–4, 329–336 (1977).

    Google Scholar 

  6. L. Babai and P. Frankl, “Isomorphisms of Cayley graphs. I,” in: Proc. 5th Hung. Comb. Colloq., 1976.

  7. G. Sabidussi, “On a class of fixed-point-free graphs,” Proc. Am. Math. Soc.,9, No. 5, 800–804 (1958).

    Google Scholar 

  8. I. Schur, “Zur Theorie der einfach transitiven Permutations-gruppen,” Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Kl., 598–623 (1933).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 103, pp. 132–139, 1980.

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Tyshkevich, R.I. Pronormal regular subgroups of a finite symmetric group. J Math Sci 24, 470–475 (1984). https://doi.org/10.1007/BF01094383

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  • DOI: https://doi.org/10.1007/BF01094383

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