Locally profinite group
http://dbpedia.org/resource/Locally_profinite_group an entity of type: Thing
Eine lokal proendliche Gruppe ist eine topologische Gruppe, die eine proendliche offene Untergruppe hat. Für lokal proendliche Gruppen können definiert werden.
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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.
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Lokal proendliche Gruppe
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Locally profinite group
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32286640
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1118536128
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Eine lokal proendliche Gruppe ist eine topologische Gruppe, die eine proendliche offene Untergruppe hat. Für lokal proendliche Gruppen können definiert werden.
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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. In a locally profinite group, a closed subgroup is locally profinite, and every compact subgroup is contained in an open compact subgroup.
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5971