On the matrix equation \(x^ n = B\) over finite fields (Q687863)
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: On the matrix equation \(x^ n = B\) over finite fields |
scientific article; zbMATH DE number 436736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the matrix equation \(x^ n = B\) over finite fields |
scientific article; zbMATH DE number 436736 |
Statements
On the matrix equation \(x^ n = B\) over finite fields (English)
0 references
9 December 1993
0 references
Let \(GF(q)\) denote the finite field of order \(q = p^e\) with \(p\) odd and prime. Let \(M\) denote the ring of \(m \times m\) matrices with entries in \(GF(q)\). We consider the problem of determining the number \(N = N(n, m, B)\) of the \(n\)-th roots in \(M\) of a given matrix \(B \in M\).
0 references
matrix equation
0 references
matrix powers
0 references
finite field
0 references
