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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 3(24), Pages 59–62
(Mi pfmt392)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Solvable NT-functors
S. F. Kamornikov Gomel Branch of International University «МIТSО», 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.
Received: 26.11.2014
Citation:
S. F. Kamornikov, “Solvable NT-functors”, PFMT, 2015, no. 3(24), 59–62
Linking options:
https://www.mathnet.ru/eng/pfmt392 https://www.mathnet.ru/eng/pfmt/y2015/i3/p59
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