Standard group

Over a local ring
Suppose $$R$$ is a local ring and $$M$$ is its unique maximal ideal. Suppose $$F$$ is a $$d$$-dimensional defining ingredient::formal group law over $$R$$. The standard group over $$R$$ corresponding to $$F$$ is the group whose set of elements is given by the set of $$d$$-tuples over $$M$$ (which could be denoted $$M^d$$, but is not to be confused with the $$d^{th}$$ power of $$M$$ in $$R$$, hence is sometimes denoted $$M^{(d)}$$) and where the group operation is given by $$F$$.