Results 71 to 80 of about 3,053 (239)

Galois-theoretical groups

Journal of Algebra, 1992
A group \(G\) is called Galois-theoretical if \(C_ G(C_ A(H)) = H\) for every subgroup \(H\) of \(G\) and \(C_ A(C_ G(B)) = B\) for every subgroup \(B\) of \(A = \text{Aut}(G)\). The paper classifies the Galois-theoretical groups: they are isomorphic to either 1, \(Z_ 3\) or \(S_ 3\).
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Generalized Reed-Solomon codes over number fields and exact gradient coding

AIMS Mathematics
This paper describes generalized Reed-Solomon (GRS) codes over number fields that are invariant under certain permutations. We call these codes generalized quasi-cyclic (GQC) GRS codes.
Irwansyah, Intan Muchtadi-Alamsyah, Fajar Yuliawan , Muhammad Irfan Hidayat   +3 more
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Computing character degrees via a Galois connection [PDF]

International Journal of Group Theory, 2015
In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
doaj  

Profinite groups are Galois groups [PDF]

Proceedings of the American Mathematical Society, 1974
Artin's theorem on finite automorphism groups of fields extends to profinite groups, and hence every profinite group is a galois group. It is well known that every finite group is the galois group of some field extension, but the corresponding statement about profinite groups does not seem to be on record.
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Lifting G-Valued Galois Representations when $\ell \neq p$

Forum of Mathematics, Sigma
In this paper, we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when $\ell \neq p$ .
Jeremy Booher, Sean Cotner, Shiang Tang
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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
doaj   +1 more source

On the realization of subgroups of $PGL(2,F)$, and their automorphism\n groups, as Galois groups over function fields [PDF]

, 2021
Rod Gow, G. E. McGuire
openalex   +1 more source

Finite index theorems for iterated Galois groups of cubic polynomials [PDF]

, 2018
Andrew Bridy, Thomas J. Tucker
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Local-global compatibility for regular algebraic cuspidal automorphic representations when $\ell \neq p$

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

On the Iwasawa algebra for pro-l Galois groups [PDF]

, 2010
Irene Lau
openalex   +1 more source