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

Hasan Sankari | Zendy; Mohammad Abobala | Zendy

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

Author(s) -

Hasan Sankari,

Mohammad Abobala

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5583128

Subject(s) - mathematics , abelian group , prime (order theory) , simple (philosophy) , connection (principal bundle) , classification of finite simple groups , pure mathematics , simple group , finite group , group (periodic table) , algebra over a field , group of lie type , combinatorics , group theory , geometry , philosophy , chemistry , organic chemistry , epistemology

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.

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