Results 11 to 20 of about 3,053 (239)
Approximating absolute Galois groups [PDF]
Journal of Pure and Applied Algebra, 2022 13 pages.
Carlsson, Gunnar, Joshua, Roy
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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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Polynomial composites and certain types of fields extensions
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
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Sur l'existence du sch\'ema en groupes fondametal [PDF]
Épijournal de Géométrie Algébrique, 2020 Let $S$ be a Dedekind scheme, $X$ a connected $S$-scheme locally of finite type and $x\in X(S)$ a section. The aim of the present paper is to establish the existence of the fundamental group scheme of $X$, when $X$ has reduced fibers or when $X$ is ...
Marco Antei +2 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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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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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 Azumaya Galois extensions and skew group rings
International Journal of Mathematics and Mathematical Sciences, 1999 Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
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On Generalized Galois Cyclic Orbit Flag Codes
Mathematics, 2022 Flag codes that are orbits of a cyclic subgroup of the general linear group acting on flags of a vector space over a finite field, are called cyclic orbit flag codes.
Clementa Alonso-González +1 more
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The Galois algebras and the Azumay Galois extensions
International Journal of Mathematics and Mathematical Sciences, 2002 Let B be a Galois algebra over a commutative ring R with Galois group G, C the center of B, K={g∈G|g(c)=c for all c∈C}, Jg{b∈B|bx=g(x)b for all x∈B} for each g∈K, and BK=(⊕∑g∈K Jg). Then BK is a central weakly Galois algebra with Galois group induced by
George Szeto, Lianyong Xue
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