On the p-rank of Ext

Mathematics – Logic

Scientific paper

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Scientific paper

Assume V=L and lambda is regular smaller than the first weakly compact
cardinal. Under those circumstances and with arbitrary requirements on the
structure of Ext(G,Z) (under well known limitations), we construct an abelian
group G of cardinality lambda such that for no G' subseteq G, |G'|< lambda is
G/G' free and Ext(G,Z) realizes our requirements.

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