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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1975 Volume 96(138), Number 1, Pages 83–92 (Mi sm3093)

On the homotopy and homology realization of exact sequences of groups

A. V. Shokurov


Abstract: In this article we prove the existence of homology and homotopy realizations of exact sequences of abelian groups. For exact sequences ending in a nonabelian group, we give a sufficient condition for the existence of a realization.
Bibliography: 2 titles.

UDC: 513.836

MSC: Primary 55B05, 55E05; Secondary 55E15

Received: 20.03.1974


 English version:
Mathematics of the USSR-Sbornik, 1975, 25:1, 77–86

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