A new characterization of finite σ-soluble PσT-groups

Let σ = {σi | i ∈ I} be a partition of the set of all primes ℙ and G a finite group. G is said to be σ-soluble if every chief factor H/K of G is a σᵢ-group for some i = i(H/K). A set H of subgroups of G is said to be a complete Hall σ-set of G if every member ≠ 1 of H is a Hall σᵢ-subgroup of G for...

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Published in:Algebra and Discrete Mathematics
Date:2020
Main Author: Adarchenko, N.M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188499
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A new characterization of finite σ-soluble PσT-groups / N.M. Adarchenko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 33–41. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine