Butler groups of arbitrary cardinality

Laszlo Fuchs*, Menachem Magidor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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 languageEnglish
Pages (from-to)239-263
Number of pages25
JournalIsrael Journal of Mathematics
Volume84
Issue number1-2
DOIs
StatePublished - Feb 1993

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