AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector space of 2×2-matrices over F. The group GL(2,F) acts on Mat2,2(Fq) 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
AbstractA classical linear group G<GL(n) acts on d-tuples of n×n matrices by simultaneous conjugatio...
As is well known (or should be well known) the finite field GF(2^k) can be represented in the genera...
AbstractA simple set of representatives for the congruence classes of (2×2) matrices over an arbitra...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractOver a field of characteristic 0, the algebra of invariants of several n×n matrices under si...
AbstractWe prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen–Macau...
This thesis looks at finite subgroups of the projective group of 2 x 2 matrices over a skew field an...
AbstractLet Fq be a finite field of characteristic two and Fq(X1,…,Xn) a rational function field. We...
Abstract. We present a general conjectural picture of Nielsen equiva-lence classes and T-systems of ...
Abstract. LetW be the space of 2×2 matrices over a field K. Let f be any linear function onW that ki...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
In this note, we give a necessary and sufficient condition for a matrix A in M(2,2) to be finitely G...
AbstractIt is shown that the characteristic polynomial of matrices over a Lie nilpotent ring introdu...
AbstractA classical linear group G<GL(n) acts on d-tuples of n×n matrices by simultaneous conjugatio...
As is well known (or should be well known) the finite field GF(2^k) can be represented in the genera...
AbstractA simple set of representatives for the congruence classes of (2×2) matrices over an arbitra...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractOver a field of characteristic 0, the algebra of invariants of several n×n matrices under si...
AbstractWe prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen–Macau...
This thesis looks at finite subgroups of the projective group of 2 x 2 matrices over a skew field an...
AbstractLet Fq be a finite field of characteristic two and Fq(X1,…,Xn) a rational function field. We...
Abstract. We present a general conjectural picture of Nielsen equiva-lence classes and T-systems of ...
Abstract. LetW be the space of 2×2 matrices over a field K. Let f be any linear function onW that ki...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
In this note, we give a necessary and sufficient condition for a matrix A in M(2,2) to be finitely G...
AbstractIt is shown that the characteristic polynomial of matrices over a Lie nilpotent ring introdu...
AbstractA classical linear group G<GL(n) acts on d-tuples of n×n matrices by simultaneous conjugatio...
As is well known (or should be well known) the finite field GF(2^k) can be represented in the genera...
AbstractA simple set of representatives for the congruence classes of (2×2) matrices over an arbitra...