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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'profinite group'
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Naming by mathcam
Correction id: 2490
Filed on: 2003-08-28 18:54:42
Status: Rejected on 2003-09-29 03:21:06
Type: Erratum
Correction text:
Shouldn't this be called a "profinite topological group," which should be defined as a topological group which is profonite? Their is a notion of a profinite group (namely, as this inverse limit) without discussing topology at all. It seems to me like this entry shouldn't even mention topology, or if so, have a "profinite topological group" be an "also defines."
Cam
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Comment from object owner djao:
According to [1, p.3] and [2, p.23], a profinite group is required to be a topological group and not merely an abstract group.
[1] J.P. Serre, "Galois Cohomology", Springer-Verlag, 1997.
[2] D. Ramakrishnan & R. Valenza, "Fourier Analysis on Number Fields", Springer-Verlag, 1999.
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