Title of article
Invariants of 2×2-Matrices over Finite Fields
Author/Authors
Dagmar M. Meyer and Larry Smith، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
7
From page
504
To page
510
Abstract
Let q be the finite field with q elements, q=pν, p a prime, and Mat2.2( q) the vector space of 2×2-matrices over . The group GL(2, ) acts on Mat2,2( q) by conjugation. In this note, we determine the invariants of this action. In contrast to the case of an infinite field, where the trace and determinant generate the ring of invariants, several new invariants appear in the case of finite fields.
Keywords
Power , primitive element , Golomb’s conjecture , Asymptotic formula , characteristic function , arithmetic function , primitive root , Jacobi sum. , Cyclic group
Journal title
Finite Fields and Their Applications
Serial Year
2002
Journal title
Finite Fields and Their Applications
Record number
701064
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