Abstract
We show that in the constructible universe, the two usual definitions of Butler groups are equivalent for groups of arbitrarily large power. We also prove that Bext2(G, T) vanishes for every torsion-free group G and torsion group T. Furthermore, balanced subgroups of completely decomposable groups are Butler groups. These results have been known, under CH, only for groups of cardinalities ≤ אω.
Original language | English |
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Pages (from-to) | 239-263 |
Number of pages | 25 |
Journal | Israel Journal of Mathematics |
Volume | 84 |
Issue number | 1-2 |
DOIs | |
State | Published - Feb 1993 |