Galoitica: Journal of Mathematical Structures and Applications

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Volume 1 , Issue 1 , PP: 42-47, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems

Mohammad Abobala 1 *

  • 1 Tishreen University, Department of Mathematics, Latakia, Syria - (Mohammadabobala777@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.010104

    Received: February 25, 2022 Accepted: April 15, 2022
    Abstract

    This paper uses the algebraic structure of the group to introduce a novel algebraic game with three players that occurs over finite groups.

     Also, it analyzes this game over some finite groups with orders up to ten.

    Keywords :

    Algebraic game , Winning strategy , MH-game.

    References

    [1] Babinkostova, L; Cosket, S ; Kontradyuk, D; Navert, S; Potter, S; and Scheepers, M, "A Study of Games Over Finite Groups", Publication at www.researchgate.net, Boise State university, 2015, pp13.

    [2] Bal, M., and Abobala, M., " On The Representation Of Winning Strategies Of Finite Games By Groups and Neutrosophic Groups", Journal Of Neutrosophic and Fuzzy Systems, 2022.

    [3] Selvakumari, K; and Lavanya, S, "Neutrosophic Fuzzy Soft Game", International Journal of Engineering and Technology, vol 7, 2018,  pp. 667-669.

    [4] Benesh, B.J; Ernest, D . C; and Sieben, N, "Impartial Avoidance Games for Generating Finite Groups", North-Western European  Journal of Mathematics, 2016, pp. 89-103.

    [5] Ahmad Dar, Y; and Sharma, Y, "Algebraic Method in Game Theory", International Journal of Multidisciplinary Research and Development, vol.  4, 2017, pp. 368-372.

    [6] Gavel, H; and Strimling, P, “Nim with a modular Muller Twist”, Integers, 2004.

    [7] John Milnor, “Sums of positional games”, Ann. Of Math. Stud. (Contributions to the Theory of Games, H. W. Kuhn and A. W. Tucker, eds.), Princeton, 2(28):291-301, 1953.

     

     

    Cite This Article As :
    Abobala, Mohammad. A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2022, pp. 42-47. DOI: https://doi.org/10.54216/GJMSA.010104
    Abobala, M. (2022). A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Galoitica: Journal of Mathematical Structures and Applications, (), 42-47. DOI: https://doi.org/10.54216/GJMSA.010104
    Abobala, Mohammad. A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Galoitica: Journal of Mathematical Structures and Applications , no. (2022): 42-47. DOI: https://doi.org/10.54216/GJMSA.010104
    Abobala, M. (2022) . A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Galoitica: Journal of Mathematical Structures and Applications , () , 42-47 . DOI: https://doi.org/10.54216/GJMSA.010104
    Abobala M. [2022]. A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems. Galoitica: Journal of Mathematical Structures and Applications. (): 42-47. DOI: https://doi.org/10.54216/GJMSA.010104
    Abobala, M. "A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 42-47, 2022. DOI: https://doi.org/10.54216/GJMSA.010104