Geodesic
Simple groups and Sylow subgroups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 441-450

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Firstly a problem to characterize Sylow $2$-subgroups (of small order $\leqslant 2^{10}$) of finite simple groups is proposed. Next some (possibly necessery) reduction steps are discussde. The latter half of these notes is devoted to finite groups having extra-spacial $p$-groups of order $p^3$ as Sylow subgroups.
Keywords: Sylow subgroups.
Mots-clés : simple group 
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Koichiro Harada. Simple groups and Sylow subgroups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 441-450. http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a4/