Standard group

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Over a local ring

Suppose R is a local ring and M is its unique maximal ideal. Suppose F is a d-dimensional 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.