A characterization of Ext(G,Z) assuming V=L
| dc.creator | Shelah, Saharon | |
| dc.creator | Strüngmann, Lutz | |
| dc.date | 2006-09-22 | |
| dc.date.accessioned | 2026-07-07T07:25:08Z | |
| dc.date.available | 2026-07-07T07:25:08Z | |
| dc.description | 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). | |
| dc.identifier | https://arxiv.org/abs/math/0609638 | |
| dc.identifier | http://arxiv.org/abs/math/0609638 | |
| dc.identifier | Fund. Math. 193 No. 2 (2007) 141--151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116622 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.title | A characterization of Ext(G,Z) assuming V=L | |
| dc.type | text |