| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599311 | Linear Algebra and its Applications | 2014 | 18 Pages |
Abstract
We discuss the form of all epimorphisms of T∞(F)T∞(F) – the group of all infinite upper triangular matrices over a field, into itself. We show that every such epimorphism is a composition of some standard maps. Moreover, we present an analogous result for UT∞(F)UT∞(F). We use the obtained results to describe the groups of automorphisms of these groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Roksana Słowik,