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This article is cited in 6 scientific papers (total in 6 papers)
Mathematical logic, algebra and number theory
On interesection of two nilpotent subgroups in small finite groups
V. I. Zenkovab
a N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS,
S. Kovalevskaya St., 16, 620990, Ekaterinburg, Russia
b 620990, Ekaterinburg, Russia, B.N. Eltsin Ural Federal University,
Mira St., 19, 620002, Ekaterinburg, Russia
Abstract:
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, simple group, nilpotent subgroup, interesection of subgroups.
Received November 24, 2016, published December 1, 2016
Citation:
V. I. Zenkov, “On interesection of two nilpotent subgroups in small finite groups”, Sib. Èlektron. Mat. Izv., 13 (2016), 1099–1115
Linking options:
https://www.mathnet.ru/eng/semr737 https://www.mathnet.ru/eng/semr/v13/p1099
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