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Characterization of the simple O'Nan-Sims group in terms of the centralizer of a third-order element

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Literature cited

  1. M. O'nan, “Some evidence for the existence of a new simple group,” Proc. London Math. Soc.,32, No. 3, 421–479 (1976).

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  2. B. Huppert, Endliche Gruppen, I, Springer-Verlag, Berlin (1967).

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  3. G. Higman, Odd Characterization of Finite Simple Groups, Lecture Notes, Univ. Michigan (1968).

  4. D. Gorenstein and R. Lyons, “Nonsolvable finite groups with solvable 2-local subgroups,” J. Algebra,38, No. 2, 435–522 (1976).

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Authors and Affiliations

  1. Sverdlovsk Pedagogic Institute, USSR

    A. P. Il'inykh

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  1. A. P. Il'inykh
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Translated from Matematicheskie Zametki, Vol. 24, No. 4, pp. 487–497, October, 1978.

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Il'inykh, A.P. Characterization of the simple O'Nan-Sims group in terms of the centralizer of a third-order element. Mathematical Notes of the Academy of Sciences of the USSR 24, 762–767 (1978). https://doi.org/10.1007/BF01099163

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  • DOI: https://doi.org/10.1007/BF01099163

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