Quasi-isomorphism and $\mathbb {Z}_{(2)}$-representations for a class of Butler groups

H. Pat Goeters; Charles Megibben

Displaying similar documents to “Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups”

Butler groups cannot be classified by certain invariants

Paul Hill, Charles Megibben (1993)

Rendiconti del Seminario Matematico della Università di Padova

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On direct sums of $ℬ^{(1)}$ -groups

Claudia Metelli (1993)

Commentationes Mathematicae Universitatis Carolinae

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A necessary and sufficient condition is given for the direct sum of two $ℬ^{(1)}$ -groups to be (quasi-isomorphic to) a $ℬ^{(1)}$ -group. A $ℬ^{(1)}$ -group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.

Quasi-balanced torsion-free groups

H. Pat Goeters, William Ullery (1998)

Commentationes Mathematicae Universitatis Carolinae

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An exact sequence $0 \to A \to B \to C \to 0$ of torsion-free abelian groups is quasi-balanced if the induced sequence $0 \to 𝐐 \otimes Hom (X, A) \to 𝐐 \otimes Hom (X, B) \to 𝐐 \otimes Hom (X, C) \to 0$ is exact for all rank-1 torsion-free abelian groups $X$ . This paper sets forth the basic theory of quasi-balanced sequences, with particular attention given to the case in which $C$ is a Butler group. The special case where $B$ is almost completely decomposable gives rise to a descending chain of classes of Butler groups. This chain is a generalization of the chain of Kravchenko classes that arise...

Butler groups and lattices of types

H. Pat Goeters, William Ullery (1990)

Commentationes Mathematicae Universitatis Carolinae

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Displaying similar documents to “Quasi-isomorphism and ℤ ( 2 ) -representations for a class of Butler groups”

Butler groups cannot be classified by certain invariants

On direct sums of ℬ ( 1 ) -groups

Quasi-balanced torsion-free groups

Butler groups and lattices of types

Displaying similar documents to “Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups”

On direct sums of $ℬ^{(1)}$ -groups