Results 41 to 50 of about 48,689 (198)
Double transitivity of Galois Groups in Schubert Calculus of Grassmannians [PDF]
We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving ...
Sottile, Frank, White, Jacob
core
In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.Comment ...
Dreyfus, Thomas
core +3 more sources
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Invariance of recurrence sequences under a galois group
Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all
Hassan Al-Zaid, Surjeet Singh
doaj +1 more source
ABSTRACT Ivacaftor is the only cystic fibrosis transmembrane conductance regulator modulator approved for infants ≥ 1 month. The elexacaftor/tezacaftor/ivacaftor combination, approved for children aged ≥ 2 years, has been shown to significantly slow CF progression.
Ngoc Hoa Truong +71 more
wiley +1 more source
Generalized affine transformation monoids on Galois rings
Let A be a ring with identity. The generalized affine transformation monoid Gaff(A) is defined as the set of all transformations on A of the form x↦xu+a (for all x∈A), where u,a∈A.
Yonglin Cao
doaj +1 more source
Wild conductor exponents of curves
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
The general Ikehata theorem for H-separable crossed products
Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
doaj +1 more source
Hurwitz spaces of Galois coverings of P^1 with Galois groups Weyl groups
We prove the irreducibility of the Hurwitz spaces which parametrize Galois coverings of P^1 whose Galois group is an arbitrary Weyl group and the local monodromies are reflections.
Bennett +24 more
core +1 more source
Block Systems of a Galois Group [PDF]
We describe an algorithm to compute subfields of an algebraic number field as block systems of its Galois group. It relies only on symbolic computations and avoids numerical approximations.
openaire +2 more sources

