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On totally free crossed modules

Published online by Cambridge University Press:  18 May 2009

A. R.-Grandjean  and
M. Ladra
A. R.-Grandjean
Affiliation:
Departamento de Algebra, Universidad de Santiago, E-15771 Santiago de Compostela, Spain
M. Ladra
Affiliation:
Departamento de Algebra, Universidad de Santiago, E-15771 Santiago de Compostela, Spain
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In [10] we associate to a crossed module (T, G, მ) an invariant abelian crossed module H2(T, G, მ). The construction uses presentations by Set-free crossed modules. Now, Set-free crossed modules are special cases of totally free crossed modules, which are algebraic models of 2-dimensional CW complexes used by several authors (see [1] and [6]). The aim of this paper is to show that H2(T, G, მ) can also be constructed from presentations by arbitrary totally free crossed modules.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 3 , September 1998 , pp. 323 - 332
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

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