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

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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… Click to show full 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.

Keywords: new criterion; finite groups; criterion solvability; solvability new; solvability; solvability non

Journal Title: Journal of Mathematics
Year Published: 2021

Link to full text (if available)


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