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Totally Disconnected Group
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Geliefert zwischen Mi., 04.02.2026 und Do., 05.02.2026
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High Quality Content by WIKIPEDIA articles! 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. 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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131162114
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131162114
- Format Fachbuch
- Titel Totally Disconnected Group
- Herausgeber Betascript Publishing
- Anzahl Seiten 80
- Genre Mathematik
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