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

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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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     title = {A {Note} on {Strongly} {Closed} {2-Subgroups}},
     journal = {Canadian mathematical bulletin},
     pages = {99--101},
     year = {1980},
     volume = {23},
     number = {1},
     doi = {10.4153/CMB-1980-013-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-013-4/}
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