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

Mohammad Abobala

Tishreen University, Department of Mathematics, Latakia, Syria

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.