A Class of Rank — 2 Torsion Free Groups

Fred Richman
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Fred Richman: New Mexico State University

Chapter [21] in Études sur les Groupes abéliens / Studies on Abelian Groups, 1968, pp 327-333 from Springer

Abstract: Abstract This section has little to do with the main theme. I once thought that the notion to be discussed here was key to classifying finite rank torsion free groups; I still feel that it is the fundamental invariant for such groups. It seems to be in the back of the mind of averyone who studies these groups and it surfaces, more or less explicitly, in many discussions. I include it with the lope of giving it some formal standing.

Keywords: Exact Sequence; Valuation Ring; Torsion Free Group; Artinian Group; Pure Subgroup (search for similar items in EconPapers)
Date: 1968
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DOI: 10.1007/978-3-642-46146-0_21

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