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- Totally_disconnected_group abstract "In mathematics, a totally disconnected group is a topological group that is totally disconnected. Such topological groups are necessarily Hausdorff.Interest centres on locally compact totally disconnected groups (variously referred to as groups of td-type, locally profinite groups, t.d. groups). The compact case has been heavily studied – these are the profinite groups – but for a long time not much was known about the general case. A theorem of van Dantzig from the 1930s, stating that every such group contains a compact open subgroup, was all that was known. Then groundbreaking work on this subject was done in 1994, when George Willis showed that every locally compact totally disconnected group contains a so-called tidy subgroup and a special function on its automorphisms, the scale function, thereby advancing the knowledge of the local structure. Advances on the global structure of totally disconnected groups have been obtained in 2011 by Caprace and Monod, with notably a clasification of characteristically simple groups and of Noetherian groups.".
- Totally_disconnected_group wikiPageExternalLink ?IDDOC=167209.
- Totally_disconnected_group wikiPageExternalLink pspum331-ptI-7.pdf.
- Totally_disconnected_group wikiPageID "4947490".
- Totally_disconnected_group wikiPageRevisionID "540178886".
- Totally_disconnected_group hasPhotoCollection Totally_disconnected_group.
- Totally_disconnected_group subject Category:Topological_groups.
- Totally_disconnected_group type Abstraction100002137.
- Totally_disconnected_group type Group100031264.
- Totally_disconnected_group type TopologicalGroups.
- Totally_disconnected_group comment "In mathematics, a totally disconnected group is a topological group that is totally disconnected. Such topological groups are necessarily Hausdorff.Interest centres on locally compact totally disconnected groups (variously referred to as groups of td-type, locally profinite groups, t.d. groups). The compact case has been heavily studied – these are the profinite groups – but for a long time not much was known about the general case.".
- Totally_disconnected_group label "Totally disconnected group".
- Totally_disconnected_group sameAs m.0cwl81.
- Totally_disconnected_group sameAs Q7828252.
- Totally_disconnected_group sameAs Q7828252.
- Totally_disconnected_group sameAs Totally_disconnected_group.
- Totally_disconnected_group wasDerivedFrom Totally_disconnected_group?oldid=540178886.
- Totally_disconnected_group isPrimaryTopicOf Totally_disconnected_group.