Results 81 to 90 of about 3,053 (239)

Computation of Hilbert sequence for composite quadratic extensions using different type of primes in Q

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
doaj   +1 more source

Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case [PDF]

, 2021
Najmuddin Fakhruddin, Rijul Saini
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Quartic exercises

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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Points on elliptic curves parametrizing dynamical Galois groups [PDF]

, 2013
Wade Hindes
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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 , 2R. K. Sharma, J. B. Srivastava   +2 more
doaj  

Unipotent differential algebraic groups as parameterized differential Galois groups [PDF]

, 2013
Andrey Minchenko, Alexey Ovchinnikov, Michael F. Singer   +2 more
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Self-dualities and Galois symmetries in Feynman integrals

Journal of High Energy Physics
It 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, Xing Wang, Stefan Weinzierl, Konglong Wu, Xiaofeng Xu   +4 more
doaj   +1 more source

A Galois correspondence for compact group actions on C⁎-algebras [PDF]

, 2011
Costel Peligrad
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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.
openaire   +2 more sources