Topological Frobenius groups (Q1065944)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Topological Frobenius groups |
scientific article; zbMATH DE number 3922997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological Frobenius groups |
scientific article; zbMATH DE number 3922997 |
Statements
Topological Frobenius groups (English)
0 references
1985
0 references
Structure theorems are obtained for topologically locally finite, totally disconnected groups which possess a compact open unit neighbourhood invariant under all inner automorphisms. These generalize results of Kegel and Wehrfritz for locally finite Frobenius groups and of Gildenhuys, Herfort and Ribes for a class of profinite Frobenius groups. The arguments depend on two propositions in categorical language proved using techniques of non-standard analysis.
0 references
IN-groups
0 references
locally finite
0 references
totally disconnected groups
0 references
Frobenius groups
0 references
non-standard analysis
0 references
0.93573034
0 references
0.93246037
0 references
0.91587555
0 references
