Geodesic
Characterization of $L_3(2^n)$ by Sylow 2-subgroups
Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 519-524 
V. D. Mazurov; S. A. Syskin. Characterization of $L_3(2^n)$ by Sylow 2-subgroups. Izvestiya. Mathematics, Tome 8 (1974) no. 3, pp. 519-524. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a5/
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     title = {Characterization of $L_3(2^n)$ by {Sylow} 2-subgroups},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The following theorem is proved: If the Sylow 2-subgroups of a finite simple group $G$ are isomorphic to the Sylow 2-subgroups of $L_3(2^n)$, $n\geqslant2$, then $G$ is isomorphic with $L_3(2^n)$.

[1] Mazurov V. D., “Konechnye prostye gruppy s edinichnoi 2-dlinoi tsentralizatorov involyutsii”, Algebra i logika, 10:4 (1971), 365–375 | MR | Zbl

[2] Mazurov V. D., “Konechnye gruppy s edinichnoi 2-dlinoi razreshimykh podgrupp”, Algebra i logika, 11:4 (1972), 338–369 | MR

[3] Glauberman G., Global and local properties of finite groups, Finite simple groups, Academic Press, London, 1971 | MR

[4] Gorenstein D., Harada K., “A characterization of Janko awo new simple groups”, J. Fac. Sci. Univ. Tokyo, 16:3 (1970), 331–406 | MR | Zbl

[5] Gorenstein D., Walter J. H., “Centralizers of involutions in balanced groups”, J. Algebra, 20:2 (1972), 284–319 | DOI | MR | Zbl

[6] Walter J. H., “The characterization of finite groups with abelian Sylow 2-subgroups”, Ann. Math., 89 (1969), 405–514 | DOI | MR | Zbl