Group A group is any set G with a defined binary operation (called the group law of $G$), written as 2 tuple (examples: $(G,*), (G,\cdot), (G,+), …$), satisfying 4 basic rules Closure The important point to be understood about a binary operation on $G$ is that $G$ is closed with respect to $*$ in the sense that if $a,b\in G$ then $a*b\in G$ ($$a,b\in{C}$$ can be read as “a,b element…