Abstract
The aim of this paper is to investigate the relationship between the Abelian groups G with Ext(G,G(κ)) D 0 and those satisfying Ext(G,G(κ)) ≈ Ext(G,G)(κ) for various cardinals κ. In particular, we will give the structure of self-Ext-small groups. Our results answer several open problems, and give new proofs of known theorems concerning splitters, tilting groups and finitely faithful S-groups. © de Gruyter 2014.
Original language | English |
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Pages (from-to) | 851-862 |
Journal | Forum Mathematicum |
Volume | 26 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2014 |