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

oleh: Hasan Sankari, Mohammad Abobala

Format: Article
Diterbitkan: Wiley 2021-01-01

Deskripsi

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.