AbstractA recently discovered family of indecomposable polynomials of nonprime power degree over F2 (which include a class of exceptional polynomials) is set against the background of the classical families and their monodromy groups are obtained without recourse to the classification of finite simple groups
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Let K be a number field, and suppose λ(x,t)∈K[x,t] is irreducible over K(t). Using algebraic geometr...
In this thesis we consider some problems concerning polynomials over finite fields. The first topic...
A recently discovered family of indecomposable polynomials of nonprime power degree over F (which in...
We present a class of indecomposable polynomials of non primepower degree over the finite field of t...
We present a family of indecomposable polynomials of non prime-power degree over the finite field of...
We discuss exceptional polynomials, i.e. polynomials over a finite field $k$ that induce bijections ...
AbstractLetKbe a finite field of characteristicp. A polynomialfwith coefficients inKis said to beexc...
AbstractIn this paper all exceptional polynomials having a doubly transitive affine arithmetic monod...
We classify complete permutation monomials of degree qn−1q−1+1 over the finite field with qn element...
Abstract. Planar functions are special functions from a finite field to itself that give rise to fin...
We classify complete permutation monomials of degree qn−1q−1+1 over the finite field with qn element...
International audiencePlanar functions are special functions from a finite field to itself that give...
International audiencePlanar functions are special functions from a finite field to itself that give...
In a number of cases the minimal polynomials of the images of unipotent elements of non-prime order ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Let K be a number field, and suppose λ(x,t)∈K[x,t] is irreducible over K(t). Using algebraic geometr...
In this thesis we consider some problems concerning polynomials over finite fields. The first topic...
A recently discovered family of indecomposable polynomials of nonprime power degree over F (which in...
We present a class of indecomposable polynomials of non primepower degree over the finite field of t...
We present a family of indecomposable polynomials of non prime-power degree over the finite field of...
We discuss exceptional polynomials, i.e. polynomials over a finite field $k$ that induce bijections ...
AbstractLetKbe a finite field of characteristicp. A polynomialfwith coefficients inKis said to beexc...
AbstractIn this paper all exceptional polynomials having a doubly transitive affine arithmetic monod...
We classify complete permutation monomials of degree qn−1q−1+1 over the finite field with qn element...
Abstract. Planar functions are special functions from a finite field to itself that give rise to fin...
We classify complete permutation monomials of degree qn−1q−1+1 over the finite field with qn element...
International audiencePlanar functions are special functions from a finite field to itself that give...
International audiencePlanar functions are special functions from a finite field to itself that give...
In a number of cases the minimal polynomials of the images of unipotent elements of non-prime order ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
Let K be a number field, and suppose λ(x,t)∈K[x,t] is irreducible over K(t). Using algebraic geometr...
In this thesis we consider some problems concerning polynomials over finite fields. The first topic...