Title: Formations of Finite Groups in Polynomial Time: F-residuals and F-subnormality
Authors: Murashka, V.I.
Мурашко, В.И.
Keywords: Finite group
permutation group computation
ormation
local formation
F-subnormality
polynomial time algorithm
Issue Date: 2022
Citation: Murashka, V.I. Formations of Finite Groups in Polynomial Time: F-residuals and F-subnormality / V.I. Murashka // arXiv.org.math.GR. - 2022. - arXiv:2205.12913v1. - P. [1-13].
Abstract: For a wide family of formations F it is proved that the F-residual of a permutation finite group can be computed in a polynomial time. Moreover, if in the previous case F is hereditary, then an F-subnormality of a subgroup can be checked in a polynomial time.
URI: https://elib.gsu.by/handle123456789/73428
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