Growing forests in abelian p-groups
نویسنده
چکیده
At the center of the theory of abelian p-groups are the classical theorems of Ulm, Zippin and Kaplansky, going back to the thirties, that classify countable p-groups by their Ulm invariants: the uniqueness theorem is referred to as Ulm's theorem, the existence theorem as Zippin's theorem. For each ordinal , the -th Ulm invariant of G can be de ned as the dimension fG( ) of the vector space (over the p-element eld) p G[p] p G[p]
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