Matrix Representations of GF(p[superscript n]) over GF(p)
| dc.contributor.author | Maurer, Peter M. | |
| dc.date.accessioned | 2014-01-31T17:45:09Z | |
| dc.date.available | 2014-01-31T17:45:09Z | |
| dc.date.issued | 2014-01-31 | |
| dc.description.abstract | We show that any non-singular nxn matrix of order p[superscript n]-1 over GF(p) is a generator of a matrix representation of GF(p[superscript n]). We also determine the number of matrix representations of GF(p[superscript n])GF(p) over GF(p), and then number of order p[superscript n]-1 matrices in the general linear group of degree n over GF(p). The theorems are easily generalizable to arbitrary field extensions. | en_US |
| dc.identifier.uri | http://hdl.handle.net/2104/8928 | |
| dc.license | GPL | en_US |
| dc.subject | Group representations | en_US |
| dc.subject | matrices over finite fields | en_US |
| dc.title | Matrix Representations of GF(p[superscript n]) over GF(p) | en_US |