Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1301 2022 2022 Tishreen University, Department of Mathematics, Latakia, Syria Mohammad Abobala 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. 2022 2022 42 47 10.54216/GJMSA.010104 https://www.americaspg.com/articleinfo/33/show/1301