Geodesic
Hall operators on the set of formations of finite groups
Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 72-78

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

Let $\pi$ be a nonempty set of primes and let $\mathfrak F$ be a saturated formation of all finite soluble $\pi$-groups. It is constructed the saturated formation consisting of all finite $\pi$-soluble groups whose $\mathfrak F$-projectors contain a Hall $\pi$-subgroup.
Keywords: $\pi$-subgroup, formation of finite groups, saturated formation, canonical satellite, $\mathfrak F$-projector.
Mots-clés : $\pi$-soluble group 
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     title = {Hall operators on the set of formations of finite groups},
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Andrei P. Mekhovich; Nikolay N. Vorob'ev; Nikolay T. Vorob'ev. Hall operators on the set of formations of finite groups. Algebra and discrete mathematics, Tome 9 (2010) no. 1, pp. 72-78. http://geodesic.mathdoc.fr/item/ADM_2010_9_1_a5/