Homology, Homotopy and Applications

Volume 4 (2002)

Number 1

Some results on central extensions of crossed modules

Pages: 29 – 42

DOI: http://dx.doi.org/10.4310/HHA.2002.v4.n1.a3

Authors

J. M. Casas (Universidad de Vigo, (Pontevedra), Spain)

A. M. Vieites (Universidad de Vigo, (Pontevedra), Spain)

Abstract

In this paper certain central extensions of crossed modules are classified. For these extensions, we obtain several results which extend the classical ones for central extensions of groups. In particular, central stem extensions of a perfect crossed module are classified in terms of a second integral homology crossed module.

Keywords

crossed module, central extension, stem extension

2010 Mathematics Subject Classification

18G50, 18Gxx, 20Jxx

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