Geodesic
On supplements of subgroups of finite groups
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 567-574

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper the concept of s-pair for a subgroup of a finite group is introduced and studied. It provides a uniform way to study the influence of some families of subgroups on the structure of a finite group. A criterion for a finite group to belong to a saturated formation and necessary and sufficient conditions for solubility, supersolvability and nilpotence of a finite group are given. 
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     author = {Li, Xianhua and Ballester-Bolinches, A.},
     title = {On supplements of subgroups of finite groups},
     journal = {Bollettino della Unione matematica italiana},
     pages = {567--574},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {3},
     year = {2006},
     zbl = {1119.20024},
     mrnumber = {2274112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a2/}
}
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Li, Xianhua; Ballester-Bolinches, A. On supplements of subgroups of finite groups. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 567-574. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a2/