For a group $G$ and set $A$, let $\text{End}(A^G)$ be the monoid of all cellular automata over $A^G$, $\text{Aut}(A^G)$ its units. By establishing characterisation surjunctuve groups in terms $\text{End}(A^G)$, we prove that rank (i.e. smallest cardinality generating set) is equal to plus relative latter infinite when has an decreasing chain normal subgroups finite index, condition which satisf...