
A footnote to this paper explains that it was written in 1961 and is now published to complete the record of the mathematical work of the late A. Kertész. Let n be a cardinal number. A subgroup G of a group H is called n-pure if every system of equations in the elements of G and a set of variables X with \(| X|
Generators, relations, and presentations of groups, General structure theorems for groups, pure subgroup, direct product, n-purity, system of equations, Subgroups of abelian groups, Subgroup theorems; subgroup growth, solution
Generators, relations, and presentations of groups, General structure theorems for groups, pure subgroup, direct product, n-purity, system of equations, Subgroups of abelian groups, Subgroup theorems; subgroup growth, solution
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