Some generalizations of torsion-free Crawley groups

Brendan Goldsmith; Fatemeh Karimi; Ahad Mehdizadeh Aghdam

Displaying similar documents to “Some generalizations of torsion-free Crawley groups”

A property of $B_{2}$ -groups

Kulumani M. Rangaswamy (1994)

Commentationes Mathematicae Universitatis Carolinae

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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.

Butler groups and Shelah's Singular Compactness

Ladislav Bican (1996)

Commentationes Mathematicae Universitatis Carolinae

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A torsion-free group is a $B_{2}$ -group if and only if it has an axiom-3 family $ℭ$ of decent subgroups such that each member of $ℭ$ has such a family, too. Such a family is called $S L_{ℵ_{0}}$ -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.

Abelian groups with many automorphisms

Jutta Hausen, Johnny A. Johnson (1976)

Rendiconti del Seminario Matematico della Università di Padova

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A result on $B_{1}$ -groups

Ladislav Bican, K. M. Rangaswamy (1995)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Some generalizations of torsion-free Crawley groups”

A property of B 2 -groups

Butler groups and Shelah's Singular Compactness

Abelian groups with many automorphisms

A result on B 1 -groups

A property of $B_{2}$ -groups

A result on $B_{1}$ -groups