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Displaying similar documents to “A property of B 2 -groups”

Butler groups and Shelah's Singular Compactness

Ladislav Bican (1996)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

A torsion-free group is a B 2 -group if and only if it has an axiom-3 family of decent subgroups such that each member of has such a family, too. Such a family is called S L 0 -family. Further, a version of Shelah’s Singular Compactness having a rather simple proof is presented. As a consequence, a short proof of a result [R1] stating that a torsion-free group B in a prebalanced and TEP exact sequence 0 K C B 0 is a B 2 -group provided K and C are so.