On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability
type: Item
instance of: scholarly article
title: On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability
zbMATH Open document ID: 1477.20037
DOI: 10.1155/2021/5583128
author: Hasan Sankari
author: Mohammad Abobala
published in: Journal of Mathematics
publication date: 2021-06-25T00:00:00Z
review text: Summary: This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also, it presents the concepts of \(m\)-abelian and \(m\)-cyclic solvability as new generalizations of solvability and polycyclicity, respectively. These new generalizations show a connection between prime powers of elements in a finite group \(G\) and its solvability.
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 7363427
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5583128
OpenAlex ID: W3154217183
cites work: Q5840072
cites work: On exact power margin groups
cites work: Q4317890
cites work: New criteria for the solvability of finite groups
cites work: Q5470878
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description: scientific article; zbMATH DE number 7363427