Geodesic
A Note on Strongly Closed 2-Subgroups
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 99-101

Voir la notice de l'article provenant de la source Cambridge University Press

Let T be a Sylow 2-subgroup of the finite group G and let 1<S≤T with S strongly closed in T with respect to G. Let Γ=〈CG(s), NG(Ω1(S))| s∊I(S)〉. Suppose that Γ≤H<G for some subgroup H of G. Then H∩〈SG〉 is strongly embedded in 〈SG〉 and S=T∩〈SG〉 or S=Ω1(T∩〈SG〉). Also if m(S) = 1, then S=T∩〈SG〉. 
Fong, Paul; Harris, Morton E. A Note on Strongly Closed 2-Subgroups. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 99-101. doi: 10.4153/CMB-1980-013-4
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