On the Abelian extensions of locally compact Abelian groups
Sbornik. Mathematics, Tome 41 (1982) no. 4, pp. 511-522 Cet article a éte moissonné depuis la source Math-Net.Ru

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The group of all Abelian extensions of a compact Abelian group by a discrete Abelian group is calculated completely. Criteria are found for the vanishing of the group of all Abelian extensions of a discrete Abelian group by a compact one. Two criteria for the splitting of compact Abelian groups are obtained. The question is studied of conditions for the vanishing of the group of all Abelian extensions of a totally disconnected locally compact Abelian group by an arbitrary locally compact Abelian group. Bibliography: 10 titles.
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N. I. Kryuchkov. On the Abelian extensions of locally compact Abelian groups. Sbornik. Mathematics, Tome 41 (1982) no. 4, pp. 511-522. http://geodesic.mathdoc.fr/item/SM_1982_41_4_a5/

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