Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9492968 | Finite Fields and Their Applications | 2005 | 10 Pages |
Abstract
For a natural number n and a prime power q the general, special, projective general and projective special linear groups are denoted by GLn(q), SLn(q),PGLn(q) and PSLn(q), respectively. Using conjugacy classes of elements in GLn(q) in terms of irreducible polynomials over the finite field GF(q) we demonstrate how the set of order elements in GLn(q) can be obtained. This will help to find the order of elements in the groups SLn(q),PGLn(q) and PSLn(q). We also show an upper bound for the order of elements in SLn(q).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M.R. Darafsheh,