Concept information
Término preferido
locally profinite group
Definición
- In mathematics, a locally profinite group is a Hausdorff topological group in which every neighborhood of the identity element contains a compact open subgroup. Equivalently, a locally profinite group is a topological group that is Hausdorff, locally compact, and totally disconnected. Moreover, a locally profinite group is compact if and only if it is profinite; this explains the terminology. Basic examples of locally profinite groups are discrete groups and the p-adic Lie groups. Non-examples are real Lie groups, which have the no small subgroup property.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Locally_profinite_group)
Concepto genérico
En otras lenguas
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francés
URI
http://data.loterre.fr/ark:/67375/PSR-FSQX3NZD-F