Sh:314

• Mekler, A. H., Rosłanowski, A., & Shelah, S. (1999). On the p-rank of Ext. Israel J. Math., 112, 327–356. arXiv: math/9806165 DOI: 10.1007/BF02773487 MR: 1714978
• 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,{\mathbb 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,{\mathbb Z}) realizes our requirements.
• Version 1998-11-24_11 (24p) published version (30p)

@article{Sh:314,
 author = {Mekler, Alan H. and Ros{\l}anowski, Andrzej and Shelah, Saharon},
 title = {{On the $p$-rank of Ext}},
 journal = {Israel J. Math.},
 fjournal = {Israel Journal of Mathematics},
 volume = {112},
 year = {1999},
 pages = {327--356},
 issn = {0021-2172},
 mrnumber = {1714978},
 mrclass = {03E45 (18G15 20K40)},
 doi = {10.1007/BF02773487},
 note = {\href{https://arxiv.org/abs/math/9806165}{arXiv: math/9806165}},
 arxiv_number = {math/9806165}
}