V. I. Zenkov, “Intersections of nilpotent subgroups in finite groups with sporadic socle”, Algebra Logika, 2020, Volume 59, Number 4,Pages <nobr>458

This article is cited in 3 papers

Intersections of nilpotent subgroups in finite groups with sporadic socle

V. I. Zenkov^ab

^a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: 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 $A\bigcap B^g=1$.

Keywords: sporadic group, nilpotent subgroup, intersections of subgroups.

UDC: 512.542

Received: 20.03.2020
Revised: 24.11.2020

DOI: 10.33048/alglog.2020.59.403