Under Solvable Groups as a Novel Generalization of Solvable Groups

Mohammad; Mehmet

doi:https://doi.org/10.54216/GJMSA.020102

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Volume 2 • Issue 1 • PP: 14-20 • 2022

Under Solvable Groups as a Novel Generalization of Solvable Groups

Mohammad Abobala ^1*

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,

Mehmet Celik ²

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¹Department Of Mathematics, Tishreen University, Latakia, Syria

²Department of Mathematics, Gaziantep University, Gaziantep, Turkey

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.020102

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Received: February 13, 2022 Accepted: July 09, 2022

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Abstract

The objective of this paper is to define a new generalization of solvable groups by using the concept of power maps which generalize the classical concept of powers (exponents). Also, it presents many elementary properties of this new generalization in terms of theorems.

Keywords

Solvable group Power map Under Solvable group &nbsp

References

[1] Rotman, J. The Theory of Groups, University of Illinois, Urbana, (1971), pp. 120-173.

[2] Haushi, M. The Algebraic Structures 1, Tishreen University Press, (2004).

[3] Arad, Z. and Ward, M. New Criteria for the Solvability of Finite Groups, Journal of Algebra, 77, (1982), pp. 234-246.

[4] Sankari, H., and Abobala, M., " On A New Criteria For The Solvability Of Non-Simple Finite Groups and m-Abelian Solvability", Journal Of Mathematics, 2021.

[5] Abobala,M., and Sankari, H., " A Contribution To m-Power Closed Groups", Umm Al-Qura University Journal Of Applied Science, 2020.

[6]Von Sthawzen, O., " On Some Applications and Open Problems about (m-Groups), Galoitica Journal Of Mathematical Structures and Applications, Vol. 1, 2022.

[7] Von Shtawzen, O., " On A Novel Group Derived From A Generalization Of Integer Exponents and Open Problems", Galoitica journal Of Mathematical Structures and Applications, Vol 1, 2022.

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Abobala, Mohammad, Celik, Mehmet. "Under Solvable Groups as a Novel Generalization of Solvable Groups." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 2, no. Issue 1, 2022, pp. 14-20. DOI: https://doi.org/10.54216/GJMSA.020102

Abobala, M., Celik, M. (2022). Under Solvable Groups as a Novel Generalization of Solvable Groups. Galoitica: Journal of Mathematical Structures and Applications, Volume 2(Issue 1), 14-20. DOI: https://doi.org/10.54216/GJMSA.020102

Abobala, Mohammad, Celik, Mehmet. "Under Solvable Groups as a Novel Generalization of Solvable Groups." Galoitica: Journal of Mathematical Structures and Applications Volume 2, no. Issue 1 (2022): 14-20. DOI: https://doi.org/10.54216/GJMSA.020102

Abobala, M., Celik, M. (2022) 'Under Solvable Groups as a Novel Generalization of Solvable Groups', Galoitica: Journal of Mathematical Structures and Applications, Volume 2(Issue 1), pp. 14-20. DOI: https://doi.org/10.54216/GJMSA.020102

Abobala M, Celik M. Under Solvable Groups as a Novel Generalization of Solvable Groups. Galoitica: Journal of Mathematical Structures and Applications. 2022;Volume 2(Issue 1):14-20. DOI: https://doi.org/10.54216/GJMSA.020102

M. Abobala, M. Celik, "Under Solvable Groups as a Novel Generalization of Solvable Groups," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 2, no. Issue 1, pp. 14-20, 2022. DOI: https://doi.org/10.54216/GJMSA.020102

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