Invertible preservers and algebraic groups (Q1344063)
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: Invertible preservers and algebraic groups |
scientific article; zbMATH DE number 720477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invertible preservers and algebraic groups |
scientific article; zbMATH DE number 720477 |
Statements
Invertible preservers and algebraic groups (English)
0 references
8 June 1995
0 references
The paper deals with groups of invertible linear transformations on matrices preserving some property. Let \(F\) be an infinite field. The main result is: if an invertible transformation of \(M_ n(F)\) preserves a finite union of similarity classes, then the transformation is essentially a conjugation. This relies heavily on results about maximal subgroups of algebraic groups.
0 references
invertible preservers
0 references
invertible linear transformations
0 references
maximal subgroups
0 references
algebraic groups
0 references
0 references
