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Characterization of the simple groups PSL(2,2n) and Sz(q) by biprimary subgroups

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Abstract

A property of the groups PSL (2, 2n) and Sz(q) is derived which no other finite simple group possesses. This property restricts the structure of biprimary subgroups of the group. A description is given of all finite nonsolvable groups with this property.

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Authors and Affiliations

  1. Sverdlovsk Division, V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    V. A. Belonogov

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  1. V. A. Belonogov
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Translated from Matematicheskie Zametki, Vol. 8, No. 1, pp. 85–93, July, 1970.

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Belonogov, V.A. Characterization of the simple groups PSL(2,2n) and Sz(q) by biprimary subgroups. Mathematical Notes of the Academy of Sciences of the USSR 8, 518–522 (1970). https://doi.org/10.1007/BF01093445

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  • DOI: https://doi.org/10.1007/BF01093445

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