Results 11 to 20 of about 14,418,431 (251)
Brauer Theory for Profinite Groups [PDF]
Journal of Algebra, 2013 Brauer Theory for a finite group can be viewed as a method for comparing the representations of the group in characteristic 0 with those in prime characteristic. Here we generalize much of the machinery of Brauer theory to the setting of profinite groups.
MacQuarrie, John, Symonds, Peter
core +4 more sources
A note on the Brauer group and the Brauer–Manin set of a product [PDF]
Bulletin of the London Mathematical Society, 2019 We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer–Manin sets) with taking product of two varieties, by relaxing the condition that varieties are projective.
Chang Lv
semanticscholar +5 more sources
Corrigendum to “The Brauer group and the Brauer–Manin set of products of varieties” [PDF]
Journal of the European Mathematical Society, 2011 Let $X$ and $Y$ be smooth and projective varieties over a field $k$ finitely generated over $\mathbb Q$, and let $\ov X$ and $\ov Y$ be the varieties over an algebraic closure of $k$ obtained from $X$ and $Y$, respectively, by extension of the ground ...
A. Skorobogatov, Y. Zarhin
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The Brauer Group Is Not a Derived Invariant [PDF]
, 2013 In this short note we observe that the recent examples of derived-equivalent Calabi–Yau 3-folds with diffierent fundamental groups also have diffierent Brauer groups, using a little topological K-theory.
N. Addington
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THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
Glasgow Mathematical Journal, 2004 Let $p^m$ be a power of a prime number $p$, $\mathbb{Dacute;_{p^m}$ be the dihedral group of order $2p^m$ and $k$ be a field where $p$ is invertible and containing a primitive $2p^m$-th root of unity. The aim of this paper is computing the Brauer group $BM(k,\mathbb{D}_{p^m},R_z)$ of the group Hopf algebra of $\mathbb{D}_{p^m}$ with respect to the ...
CARNOVALE, G., CUADRA, J.
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PLoS ONE, 2023 Phylogenetic relationships within the oestroid subclades Rhinophorinae (Calliphoridae) and Polleniidae were reconstructed for the first time, applying a Sanger sequencing approach using the two protein-coding nuclear markers CAD (carbamoyl-phosphate ...
Silvia Gisondi +6 more
doaj +1 more source
Purity for the Brauer group [PDF]
Duke mathematical journal, 2017 A purity conjecture due to Grothendieck and Auslander--Goldman predicts that the Brauer group of a regular scheme does not change after removing a closed subscheme of codimension $\ge 2$.
Kęstutis Česnavičius
semanticscholar +1 more source
The equivariant Brauer group of a group [PDF]
Proceedings of the American Mathematical Society, 2005 We consider the Brauer group ${\rm BM}'(k,G)$ of a group $G$ (finite or infinite) over a commutative ring $k$ with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\longrightarrow {\rm BM}'(k,G)\longrightarrow {\rm Gal}(k,G) \longrightarrow 1$$ is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the
Caenepeel, Stefaan +2 more
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On the size of the Brauer group [PDF]
Proceedings of the American Mathematical Society, 1968 It is well known that the isomorphism classes of finite-dimensional central division algebras over a field K form a group B(K), called the Brauer group of K. This group may be described cohomologically as follows: let GK be the Galois group of the separable closure K8 of K, then B(K)= H2(GK, K*) where the cohomology is that of profinite groups [3 ...
Brumer, A., Rosen, M.
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Universal Triviality of the Chow Group of 0-cycles and the Brauer Group [PDF]
International mathematics research notices, 2018 We prove that a smooth proper universally $\textrm{CH}_0$-trivial variety $X$ over a field $k$ has universally trivial Brauer group. This fills a gap in the literature concerning the $p$-torsion of the Brauer group when $k$ has characteristic $p$.
Asher Auel +3 more
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