Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I (Q753957)
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: Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I |
scientific article; zbMATH DE number 4181639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I |
scientific article; zbMATH DE number 4181639 |
Statements
Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I (English)
0 references
1991
0 references
Let F be any field and n and r integers at least 2. The author characterizes in particular all subgroups H of GL(nr,F) containing \(N=SL(n,F)\otimes SL(r,F)\). The general situation is that N or SL(nr,F) is normal in H. There are then a number of special cases in characteristic two. The author then carries out a similar operation, using symplectic instead of special linear groups.
0 references
subgroups of classical groups
0 references
special linear groups
0 references
0 references
