On the p-rank of Ext
Logic
2013-01-03 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/9806165,
title = {On the p-rank of Ext},
author = {Alan H. Mekler and Andrzej Rosłanowski and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9806165},
year = {2013}
}