Results 1 to 10 of about 70 (70)
Galois $p$-groups and Galois modules [PDF]
Rocky Mountain Journal of Mathematics, 2016 28 pages. To appear in Rocky Mountain Journal of Mathematics.
Chebolu, Sunil +2 more
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Groups of p-absolute Galois type that are not absolute Galois groups
Journal of Pure and Applied Algebra, 2023 Let p be a prime. We study pro-p groups of p-absolute Galois type, as defined by Lam-Liu-Sharifi-Wake-Wang. We prove that the pro-p completion of the right-angled Artin group associated to a chordal simplicial graph is of p-absolute Galois type, and moreover it satisfies a strong version of the Massey vanishing property.
Simone Blumer +2 more
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The Galois algebra with Galois group which is the automorphism group
Journal of Algebra, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szeto, George, Xue, Lianyong
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The Determination of Galois Groups [PDF]
Mathematics of Computation, 1973 A technique is described for the nontentative computer determination of the Galois groups of irreducible polynomials with integer coefficients. The technique for a given polynomial involves finding high-precision approximations to the roots of the polynomial, and fixing an ordering for these roots.
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Proceedings of the American Mathematical Society, 1959 The question of the existence of noninner, nonouter Abelian Galois groups of noncommutative rings seems not to have been considered previously. Amitsur [1 ] may have come closest when he constructed noninner, nonouter cyclic division ring extensions.
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Galois Representations and Galois Groups Over ℚ [PDF]
, 2015 Minor changes. 13 pages. This paper contains results of the collaboration started at the conference Women in numbers - Europe, (October 2013), by the working group "Galois representations and Galois groups over Q"
Arias de Reyna Domínguez, Sara +9 more
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GALOIS AUTOMORPHISMS AND CLASSICAL GROUPS
Transformation Groups, 2022 v1. 40 pages; v2. 42 pages. Corrected the statement of Thm. C and updated Section 16 to reflect this change. No other changes; v3.
Taylor, Jay, Fry, A. A. Schaeffer
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Journal of Algebra, 1999 Let \(f(X)= X^n+ aX^s+b\) be an irreducible trinomial with integral coefficients, where \(n\) and \(s\) are co-prime. Under which criteria on the coefficients \(a,b\), the Galois group of \(f(X)\) must be the symmetric group \(S_n\)? Examples of such criteria have been given by \textit{H. Osada} [J.
Cohen, S.D, Movahhedi, A, Salinier, A
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On Galois cohomology and realizability of 2-groups as Galois groups II
Open Mathematics, 2011 Abstract In [Michailov I.M., On Galois cohomology and realizability of 2-groups as Galois groups, Cent. Eur. J. Math., 2011, 9(2), 403–419] we calculated the obstructions to the realizability as Galois groups of 14 non-abelian groups of order 2n, n ≥ 4, having a cyclic subgroup of order 2n−2, over fields containing a primitive 2n−3th ...
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