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Transitive permutation groups with a single irreducible constituent of degree greater than one

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Literature cited

  1. G. Seitz, “Finite groups having only one irreducible representation of degree greater than one,” Proc. Am. Math. Soc.,19, No. 2, 459–461 (1968).

    Google Scholar 

  2. J. Pelikán, “Finite groups with few nonlinear irreducible characters,” Acta Math. Acad. Sci. Hung.,25, Nos. 1–2, 223–226 (1974).

    Google Scholar 

  3. J. Egawa and N. Iwahori, “Finite groups which have only one nonlinear irreducible character,” J. Fac. Sci. Univ. Tokyo, Sec. 1A,24, No. 1, 247–253 (1977).

    Google Scholar 

  4. H. Wielandt, Finite Permutation Groups, Academic Press, New York-London (1964).

    Google Scholar 

  5. B. Huppert, Endliche Gruppen, Springer-Verlag, Berlin-Heidelberg-New York (1967).

    Google Scholar 

  6. I. M. Isaacs and D. S. Passman, “Groups whose irreducible representations have degrees dividing pe,” Illinois J. Math.,8, No. 3, 446–457 (1964).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 341–346, September, 1983.

The author thanks V. D. Mazurov for useful remarks.

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Podryabinnikov, A.V. Transitive permutation groups with a single irreducible constituent of degree greater than one. Mathematical Notes of the Academy of Sciences of the USSR 34, 652–654 (1983). https://doi.org/10.1007/BF01140343

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  • DOI: https://doi.org/10.1007/BF01140343

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