Characterization of some finite simple groups
Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 805-814.

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The paper contains a characterization, by means of their biprimary subgroups of even order, of the following finite simple groups: the special projective linear groups $PSL(2,q)$ ($q>3$), the Suzuki groups $Sz(q)$, and Janko's group $J$ of order 175560.
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V. A. Belonogov. Characterization of some finite simple groups. Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 805-814. http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a4/

[1] Belonogov V. A., “Kharakterizatsiya prostykh grupp $PSL(2,2^n)$ i $S_z(q)$ biprimarnymi podgruppami”, Matem. zametki, 8:1 (1970), 89–97 | MR

[2] Busarkin V. M., Starostin A. I., “Konechnye gruppy, vse sobstvennye podgruppy kotorykh obladayut nilpotentnym rasschepleniem”, Izv. AN SSSR. Ser. matem., 29 (1965), 97–108 | MR | Zbl

[3] Dickson L. E., Lineare Groups, New York, 1958

[4] Dieudonné J., “On the automorphisms of the classical groups”, Mem. Amer. Math. Soc., 1951, no. 2 | MR

[5] Gorenstein A., Walter J. H., “The characterization of finite groups with dihedral Sylow 2-subgroups. I”, J. Algebra, 2 (1965), 85–151 ; “II”, 218–270 ; “III”, 354–393 | DOI | MR | Zbl | MR | MR | Zbl

[6] Kholl M., Teoriya grupp, IL, M., 1962

[7] Janko Z., “A new finite simple groups with abelian Sylow 2-subgroups and its characterization”, J. Algebra, 3:2 (1966), 147–186 | DOI | MR | Zbl

[8] Kertis Ch., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[9] Schur I., “Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen”, J. reine und angew. Math., 132:2 (1907), 85–137 | Zbl

[10] Suzuki M., “On a class of doubly transitive groups”, Ann. Math., 75:1 (1962), 105–145 | DOI | MR | Zbl

[11] Suzuki M., “Finite groups of even order in which Sylow 2-groups are independent”, Ann. Math., 80:1 (1964), 58–77 | DOI | MR | Zbl

[12] Suzuki M., “A characterization of the simple groups $PSL(2,q)$”, J. Math. Soc. Japan, 20:1–2 (1968), 342–349 | MR | Zbl

[13] Thompson J. G., “A special class of non-soluable groups”, Math. Z., 72:5 (1960), 458–462 | MR | Zbl

[14] Wong W. J., “On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2”, J. Austral. Math. Soc., 4:1 (1964), 90–112 | DOI | MR | Zbl