Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 1 , Issue 1 , PP: 08-11, 2022 | Cite this article as | XML | Html | PDF
Mohammad Abobala 1 *
Doi: https://doi.org/10.54216/GJMSA.010101
The aim of this paper is to solve the “ON MY TURF" game over some finite nonabelian groups. Also, it presents the following results:
1-) If G has odd order, and the set F contains the identity element, then the first player A has a winning strategy. If F does not contain the identity, then B has a winning strategy.
2-) If G has an even order with only one element of order two, there is a winning strategy related to set F.
3-) If G has an even order with only three elements of order two which generate a subgroup isomorphic to Z2 × Z2, there is a winning strategy related to the set F.
MT-Game , Finite group , Non-abelian group , Algebraic games.
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