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2007 On low-dimensional homology in categories
Tomas Everaert, Marino Gran
Homology Homotopy Appl. 9(1): 275-293 (2007).

Abstract

The classical Stallings-Stammbach five-term exact sequence associated with a short exact sequence of groups is shown to exist in a general categorical context. This makes it possible to establish a new result relating low-dimensional homology and central series, which extends a well known result from the theory of groups.

Citation

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Tomas Everaert. Marino Gran. "On low-dimensional homology in categories." Homology Homotopy Appl. 9 (1) 275 - 293, 2007.

Information

Published: 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1124.18007
MathSciNet: MR2280296

Subjects:
Primary: 18G50 , 20F14 , 55N20

Keywords: category theory , central series , homology , Hopf formula

Rights: Copyright © 2007 International Press of Boston

Vol.9 • No. 1 • 2007
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