Results 11 to 20 of about 48,689 (198)
Galois representations and Galois groups over Q [PDF]
, 2014 In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve and let J(C) be the associated Jacobian variety.
Arias-de-Reyna, Sara +5 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.
Blumer, S, Cassella, A, Quadrelli, C
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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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Numerical Computation of Galois Groups [PDF]
Foundations of Computational Mathematics, 2017 The Galois/monodromy group of a family of geometric problems or equations is a subtle invariant that encodes the structure of the solutions. Computing monodromy permutations using numerical algebraic geometry gives information about the group, but can only determine it when it is the full symmetric group. We give numerical methods to compute the Galois
Jonathan D. Hauenstein +2 more
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Galois groups as quotients of Polish groups [PDF]
Journal of Mathematical Logic, 2020 We present the (Lascar) Galois group of any countable theory as a quotient of a compact Polish group by an [Formula: see text] normal subgroup: in general, as a topological group, and under NIP, also in terms of Borel cardinality. This allows us to obtain similar results for arbitrary strong types defined on a single complete type over [Formula: see ...
Krzysztof Krupinski, Tomasz Rzepecki
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On weak center Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, the notion of a center Galois extension of BG with Galois group G (i.e., C is a Galois algebra over CG ...
George Szeto, Lianyong Xue
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The Galois group of a stable homotopy theory [PDF]
, 2016 To a "stable homotopy theory" (a presentable, symmetric monoidal stable $\infty$-category), we naturally associate a category of finite \'etale algebra objects and, using Grothendieck's categorical machine, a profinite group that we call the Galois group.
Mathew, Akhil
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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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On central commutator Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
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, 2007 We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings.
Caenepeel, S., Janssen, K., Wang, S. H.
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