Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416393 | Linear Algebra and its Applications | 2014 | 11 Pages |
Abstract
Let RâCnÃn be a {k}-involutory matrix (that is, Rk=In) for some integer kâ¥2, and let s be a nonnegative integer. A matrix AâCnÃn is called an {R,s+1,k}-potent matrix if A satisfies RA=As+1R. In this paper, a matrix group corresponding to a fixed {R,s+1,k}-potent matrix is explicitly constructed, and properties of this group are derived and investigated. This group is then reconciled with the classical matrix group GA that is associated with a generalized group invertible matrix A.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Minerva Catral, Leila Lebtahi, Jeffrey Stuart, Néstor Thome,