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Communications in Algebra Volume 31, 2003 - Issue 11
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Original Articles

N-Crossed Extensions of Crossed Modules

A. M. Vieites Departamento de Matemática Aplicada I, Universidad de Vigo, Vigo (Pontevedra), Spain; Departamento de Matemática Aplicada I, Universidad de Vigo, Vigo (Pontevedra), 36280, SpainCorrespondence[email protected]
,
J. M. Casas Departamento de Matemática Aplicada I, Universidad de Vigo, Vigo (Pontevedra), Spain
&
M. Ladra Departamento de Álgebra, Universidad de Santiago, Santiago de Compostela, Spain
Pages 5525-5551 | Received 01 Jun 2002, Published online: 31 Aug 2006
 
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Abstract

We obtain cohomological δ-functors and a five term exact sequence associated to an extension of crossed modules which yields Eilenberg-MacLane cohomology theory and the classic five term exact sequence associated to an extension of groups, when we consider the particular situation of groups.

Acknowledgment

Work partially supported by PGIDT01PXI20702PR and by MCYT, project BFM2000-0523.

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