Results 91 to 100 of about 48,689 (198)
The fundamental group and Galois coverings of hexagonal systems in 3-space
International Journal of Mathematics and Mathematical Sciences, 2006 We consider hexagonal systems embedded into the 3-dimensional space ℝ3. We define the fundamental group π1(G) of such a system G and show that in case G is a finite hexagonal system with boundary, then π1(G) is a (non-Abelian) free group.
J. A. De La Peña, L. Mendoza
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A GALOIS EXTENSION WITH GALOIS GROUP DIHEDRAL GROUP OR GENERALIZED QUATERNION GROUP
Communications of the Korean Mathematical Society, 2005 Let L/F be a Galois quadratic extension such that F contains a primitive n-th root of 1. Let N = L() where . We show that if , and [N : L] = m, then or generalized quaternion group whether , respectively.
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Forum of Mathematics, SigmaWe prove the compatibility of local and global Langlands correspondences for $\operatorname {GL}_n$ up to semisimplification for the Galois representations constructed by Harris-Lan-Taylor-Thorne [10] and Scholze [18]. More precisely, let $r_p(
Ila Varma
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International Journal of Mathematics and Mathematical Sciences, 1997 First, we will give all necessary definitions and theorems. Then the definition of a Hilbert sequence by using a Galois group is introduced. Then by using the Hilbert sequence, we will build tower fields for extension K/k, where K=k(d1,d2) and k=Q for ...
M. Haghighi, J. Miller
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Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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Complex Reflection Groups as Differential Galois Groups
ACM Communications in Computer AlgebraComplex reflection groups comprise a generalization of Weyl groups of semisimple Lie algebras, and even more generally of finite Coxeter groups. They have been heavily studied since their introduction and complete classification in the 1950s by Shephard and Todd, due to their many applications to combinatorics, representation theory, knot theory, and ...
Carlos E. Arreche +3 more
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The unit group of algebra of circulant matrices [PDF]
International Journal of Group Theory, 2014 Let $Cr_{n}(F)$ denote the algebra of $n times n$ circulant matrices over the field $F$. In this paper, we study the unit group of $Cr_{n}(F_{p^m})$, where $F_{p^m}$ denotes the Galois field of order $p^{m}$, $p$ prime.
Neha Makhijani +2 more
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International Journal of Mathematics and Mathematical Sciences, 2003 A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and ...
Max-Albert Knus, Jean-Pierre Tignol
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On local Galois deformation rings: generalised tori
Forum of Mathematics, SigmaWe study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
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Self-dualities and Galois symmetries in Feynman integrals
Journal of High Energy PhysicsIt is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sectors.
Sebastian Pögel +4 more
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