Intersections of nilpotent subgroups in finite groups with sporadic socle
Algebra i logika, Tome 59 (2020) no. 4, pp. 458-470
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It is proved that for any nilpotent subgroups $A$ and $B$ in a finite group $G$ with sporadic socle, there is an element $g$ such that $A\bigcap B^g=1$.
Mots-clés :
sporadic group
Keywords: nilpotent subgroup, intersections of subgroups.
Keywords: nilpotent subgroup, intersections of subgroups.
@article{AL_2020_59_4_a2,
author = {V. I. Zenkov},
title = {Intersections of nilpotent subgroups in finite groups with sporadic socle},
journal = {Algebra i logika},
pages = {458--470},
publisher = {mathdoc},
volume = {59},
number = {4},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2020_59_4_a2/}
}
V. I. Zenkov. Intersections of nilpotent subgroups in finite groups with sporadic socle. Algebra i logika, Tome 59 (2020) no. 4, pp. 458-470. http://geodesic.mathdoc.fr/item/AL_2020_59_4_a2/