Abstract
In this article we consider the elements in upper triangular finite and infinite dimensional matrix groups over fields, whose order is equal to (). For the case when the characteristic of does not divide, we give a description of such elements. Next using this criterion, we show how to find the number of these elements in finite dimensional groups when is a finite field.
| Original language | English |
|---|---|
| Pages (from-to) | 28-38 |
| Number of pages | 11 |
| Journal | Linear and Multilinear Algebra |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2014 |
Keywords
- infinite triangular matrix
- order of a group element
- triangular matrix
ASJC Scopus subject areas
- Algebra and Number Theory
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