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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



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