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Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 2 , Issue 1 , PP: 14-20, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

Under Solvable Groups as a Novel Generalization of Solvable Groups

Mohammad Abobala 1 * , Mehmet Celik 2

  • 1 Department Of Mathematics, Tishreen University, Latakia, Syria - (mohammadabobala777@gmail.comm)
  • 2 Department of Mathematics, Gaziantep University, Gaziantep, Turkey - (mathcelik@gmail.com)

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

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


    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.

    Cite This Article As :
    Abobala, Mohammad. , Celik, Mehmet. Under Solvable Groups as a Novel Generalization of Solvable Groups. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 14-20, 2022. DOI: https://doi.org/10.54216/GJMSA.020102

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