✦ LIBER ✦

CoGalois groups as metric spaces

✍ Scribed by Edgar Enochs; Sergio Estrada

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 156 KB
Volume: 278
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200410227

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✦ Synopsis

Abstract

The coGalois group associated to a torsion free cover of a ℤ‐module are known to have a canonical topology. In this paper we will see that this topology can be deduced by p^k^‐roots of elements of coGalois groups over ℤ~p~ (p is a prime). We shall investigate in the metric associated to this topology and deduce that the coGalois groups are complete and are isomorphic as metric spaces to products of Banach spaces having orthonormal bases over the various rings of p‐adic integers. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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