Displaying similar documents to “Butler groups and Shelah's Singular Compactness”

A property of B 2 -groups

Kulumani M. Rangaswamy (1994)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

It is shown, under ZFC, that a B 2 -group has the interesting property of being ℵ 0 -prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on B 2 -groups.

Almost Butler groups

Ladislav Bican (2000)

Czechoslovak Mathematical Journal

Similarity:

Generalizing the notion of the almost free group we introduce almost Butler groups. An almost B 2 -group G of singular cardinality is a B 2 -group. Since almost B 2 -groups have preseparative chains, the same result in regular cardinality holds under the additional hypothesis that G is a B 1 -group. Some other results characterizing B 2 -groups within the classes of almost B 1 -groups and almost B 2 -groups are obtained. A theorem of stating that a group G of weakly compact cardinality λ having a λ -filtration...