AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants of SL(n, F) acting on mn-component vectors. This paper proves that if m > n > 1, then S(m, n, F) must contain a generator whose degree is greater than or equal to (m − n + 2)(|F| − 1). Similar results are obtained for the vector invariants of other groups of matrices with entries in F
AbstractLet V be an n-dimensional vector space over a field F. An arrangement of hyperplanes A = {H1...
In this paper, we study the vector invariants, F[mV_2]^(C_p), of the 2-dimensional indecomposable re...
Abstract. We present a general conjectural picture of Nielsen equiva-lence classes and T-systems of ...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
We prove two statements. The first one is a conjecture of Ian Hughes which states that if f_1,..., f...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractLet the mod 2 Steenrod algebra, A, and the general linear group, GLk:=GL(k,F2), act on Pk:=F...
AbstractNew proofs are given of the First Fundamental Theorems of vector invariants for the special ...
AbstractOver a field of characteristic 0, the algebra of invariants of several n×n matrices under si...
Abstract. LetW be the space of 2×2 matrices over a field K. Let f be any linear function onW that ki...
AbstractWe consider linear representations of a finite group G on a finite dimensional vector space ...
AbstractLet V be an n-dimensional vector space over a field F. An arrangement of hyperplanes A = {H1...
In this paper, we study the vector invariants, F[mV_2]^(C_p), of the 2-dimensional indecomposable re...
Abstract. We present a general conjectural picture of Nielsen equiva-lence classes and T-systems of ...
AbstractLet F denote a finite field and let S(m, n, F) denote a set of generators of the invariants ...
AbstractLet Fq be the finite field with q elements, q=pν, p∈N a prime, and Mat2.2(Fq) the vector spa...
AbstractDenote by Rn,m the ring of invariants of m-tuples of n×n matrices (m,n⩾2) over an infinite b...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
We prove two statements. The first one is a conjecture of Ian Hughes which states that if f_1,..., f...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractLet the mod 2 Steenrod algebra, A, and the general linear group, GLk:=GL(k,F2), act on Pk:=F...
AbstractNew proofs are given of the First Fundamental Theorems of vector invariants for the special ...
AbstractOver a field of characteristic 0, the algebra of invariants of several n×n matrices under si...
Abstract. LetW be the space of 2×2 matrices over a field K. Let f be any linear function onW that ki...
AbstractWe consider linear representations of a finite group G on a finite dimensional vector space ...
AbstractLet V be an n-dimensional vector space over a field F. An arrangement of hyperplanes A = {H1...
In this paper, we study the vector invariants, F[mV_2]^(C_p), of the 2-dimensional indecomposable re...
Abstract. We present a general conjectural picture of Nielsen equiva-lence classes and T-systems of ...
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