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JOURNALS
// Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics)
// Archive
PFMT,
2015
Issue 3(24),
Pages
59–62
(Mi pfmt392)
This article is cited in
1
paper
MATHEMATICS
Solvable NT-functors
S. F. Kamornikov
Gomel Branch of International University «ÌIÒSλ, Gomel, Belarus
Abstract:
The problem of characterization of all hereditary regular transitive subgroup functors is solved. It is proved that any natural transitive subgroup functor is
$\mathfrak{X}$
-subnormal for some primitive class
$\mathfrak{X}$
.
Keywords:
finite solvable group, primitive group, subgroup functor, natural transitive subgroup functor (NT-functor), formation.
UDC:
512.542
Received:
26.11.2014
Fulltext:
PDF file (414 kB)
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Steklov Math. Inst. of RAS
, 2024