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A Note on σ -Summable Groups

We answer questions raised by P. Danchev in a recent paper in these Proceedings. It is shown that a σ -summable abelian p-group is not determined by its socle, that is, two such groups can have isometric socles without being isomorphic. It is also demonstrated that σ -summability plays... Full description

1st Person: Hill, Paul
Source: in Proceedings of the American Mathematical Society Vol. 126, No. 11 (1998), p. 3133-3135
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Type of Publication: Article
Language: English
Published: 1998
Keywords: research-article
Primary 20K10, 20K07
Online: Volltext
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