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Pro-C completions of crossed modules

Published online by Cambridge University Press:  20 January 2009

F. J. Korkes  and
T. Porter
F. J. Korkes
Affiliation:
School of Mathematics, University College of North Wales, Bangor, Gwynedd LL57 1UT, Wales
T. Porter
Affiliation:
School of Mathematics, University College of North Wales, Bangor, Gwynedd LL57 1UT, Wales
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Abstract

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Crossed modules occur in the theory of group presentations, in group cohomology and in providing algebraic models for certain homotopy types. There are profinite analogues of each of these contexts. In this paper, we examine the problem of extending the profinite completion functor on groups to one on crossed modules thus providing a method for comparing the information contained in profinite and abstract crossed modules in each of these situations.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 39 - 51
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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