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- W1601564994 abstract "A torsion-free group is a $B_2$-group if and only if it has an axiom-3 family $frak C$ of decent subgroups such that each member of $frak C$ has such a family, too. Such a family is called $SL_{aleph_0}$-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 $0 to K to C to B to 0$ is a $B_2$-group provided $K$ and $C$ are so." @default.
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- W1601564994 date "1996-01-01" @default.
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- W1601564994 title "Butler groups and Shelah's Singular Compactness" @default.
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