Geodesic
On intersection of two nilpotent subgroups in finite group with socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1424-1433

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Let $G$ be a finite group with the socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$. In this paper, it is given a description of all pairs $(A, B)$ of nilpotent subgroups $A$ and $B$ of $G$ such that $A\bigcap B^g\ne1$ for any $g\in G$.
Keywords: finite group, nilpotent subgroup, intersection of subgroups. 
@article{SEMR_2017_14_a43,
     author = {V. I. Zenkov},
     title = {On intersection of two nilpotent subgroups in finite group with socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1424--1433},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a43/}
}
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V. I. Zenkov. On intersection of two nilpotent subgroups in finite group with socle $\Omega_8^+(2)$, $E_6(2)$ or $E_7(2)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1424-1433. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a43/