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Galoitica: Journal of Mathematical Structures and Applications

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Online: 2834-5568
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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 1Issue 1PP: 42-47 • 2022

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

Mohammad Abobala 1*
1Tishreen University, Department of Mathematics, Latakia, Syria
* Corresponding Author.
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Open Access & Copyright

© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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.

 

 

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Abobala, Mohammad. "A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 1, no. Issue 1, 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, Volume 1(Issue 1), 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 Volume 1, no. Issue 1 (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, Volume 1(Issue 1), pp. 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. 2022;Volume 1(Issue 1):42-47. DOI: https://doi.org/10.54216/GJMSA.010104
M. Abobala, "A Study of Novel Algebraic Game Over Some Finite Groups and Open Problems," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 1, no. Issue 1, pp. 42-47, 2022. DOI: https://doi.org/10.54216/GJMSA.010104
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