On a New Criterion for the Solvability of Non-Simple Finite Groups and m-Abelian Solvability

Hasan Sankari, Mohammad Abobala and Li Guo

Journal of Mathematics, 2021, vol. 2021, 1-5

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5583128

DOI: 10.1155/2021/5583128

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