On a new criterion for the solvability of non-simple finite groups and \(m\)-abelian solvability
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.
scientific article; zbMATH DE number 7363427