A new characterization of finite σ-soluble PσT-groups

• 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
• 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.

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...