Geodesic
On interesection of two nilpotent subgroups in small finite groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1099-1115

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It is proved that if $G$ is a finite group whose socle is some simple group from "Atlas of finite groups" then, for any nilpotent subgroups $A$ and $B$ of $G$, there exists an element $g$ of $G$ such that $A\cap B^g=1$, besides several cases when $A$ and $B$ are $2$- or $3$-groups.
Keywords: finite group, nilpotent subgroup, interesection of subgroups.
Mots-clés : simple group 
@article{SEMR_2016_13_a34,
     author = {V. I. Zenkov},
     title = {On interesection of two nilpotent subgroups in small finite groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1099--1115},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a34/}
}
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V. I. Zenkov. On interesection of two nilpotent subgroups in small finite groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1099-1115. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a34/