On the p-rank of Ext_Z(G,Z) in certain models of ZFC
| 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 | We show that if the existence of a supercompact cardinal is consistent with ZFC, then it is consistent with ZFC that the p-rank of Ext_Z(G, Z) is as large as possible for every prime p and any torsion-free abelian group G . Moreover, given an uncountable strong limit cardinal mu of countable cofinality and a partition of P (the set of primes) into two disjoint subsets P_0 and P_1, we show that in some model which is very close to ZFC there is an almost-free abelian group G of size 2^{mu}= mu^+ such that the p-rank of Ext_Z(G,Z) equals 2^{mu}= mu^+ for every p in P_0 and 0 otherwise, i.e. for p in P_1. | |
| dc.identifier | https://arxiv.org/abs/math/0609637 | |
| dc.identifier | http://arxiv.org/abs/math/0609637 | |
| dc.identifier | Algebra Logika 46 No. 3 (2007) 369--397, 403--404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116621 | |
| dc.subject | Logic | |
| dc.subject | Group Theory | |
| dc.title | On the p-rank of Ext_Z(G,Z) in certain models of ZFC | |
| dc.type | text |