Geodesic
Superlocals in Symmetric and Alternating Groups
Algebra i logika, Tome 42 (2003) no. 3, pp. 338-365.

Voir la notice de l'article provenant de la source Math-Net.Ru

On Aschbacher's definition, a subgroup $N$ of a finite group $G$ is called a $p$-superlocal for a prime $p$ if $N=N_G(O_p(N))$. We describe the $p$-superlocals in symmetric and alternating groups, thereby resolving part way Problem 11.3 in the Kourovka Notebook [3].
Keywords: symmetric group, alternating group, $p$-superlocal. 
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D. O. Revin. Superlocals in Symmetric and Alternating Groups. Algebra i logika, Tome 42 (2003) no. 3, pp. 338-365. http://geodesic.mathdoc.fr/item/AL_2003_42_3_a5/

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