Research Article

On finite Sylow tower and σ-tower groups

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1799–1813

DOI: 10.2989/16073606.2022.2120840

Author(s): Jinzhuan Cai Hainan University, P.R. China, Inna N. Safonova Belarusian State University, Belarus, Alexander N. Skiba Francisk Skorina Gomel State University, Belarus, Zhigang Wang Hainan University, ,

Keywords: 20D10, 20D15, 20D20, 05C25, Finite group, σ-tower group, Hawkes σ-graph, σ-tower group of type ψ, σ-nilpotent group,

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Abstract

In this paper, G is a finite group and σ a partition of the set of all primes ℙ, that is, σ = {σ_i| i ∈ I}, where ℙ = ⋃_i∈I σ_i and σ_i ∩ σ_j = ∅ for all i = j; σ (G) = {σ_i| σ_i ∩ π(G) = ∅}.

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Research Article

On finite Sylow tower and σ-tower groups

Abstract

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