A characterization of Ext(G,Z) assuming V=L
Logic
2007-05-23 v1 Group Theory
Abstract
In this paper we complete the characterization of Ext(G,Z) under Godel's axiom of constructibility for any torsion-free abelian group G . In particular, we prove in (V=L) that, for a singular cardinal nu of uncountable cofinality which is less than the first weakly compact cardinal and for every sequence of cardinals (nu_p : p in P) satisfying nu_p <= 2^{nu}, there is a torsion-free abelian group G of size nu such that nu_p equals the p-rank of Ext(G,Z) for every prime p and 2^{nu} is the torsion-free rank of Ext(G,Z).
Keywords
Cite
@article{arxiv.math/0609638,
title = {A characterization of Ext(G,Z) assuming V=L},
author = {Saharon Shelah and Lutz Strüngmann},
journal= {arXiv preprint arXiv:math/0609638},
year = {2007}
}