A SURVEY ON MILNOR LAWS

摘要

The group laws which are not satisfied in product-varieties A_pA for any prime p will be called, after F. Point, the Milnor laws. Let G be a 2-generator relatively free group defined by a nontrivial law w= 1. We show that this law is the Milnor law if and only if G'/G" is finitely generated. Moreover, the properties G'= G" and G' is finitely or infinitely generated, allow us to split the Milnor laws for three disjoint classes. We describe their properties.