### On the $p$-rank of Ext

by Mekler and Roslanowski and Shelah. [MRSh:314]

Israel J Math, 1999

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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