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Brauer groups of diagonal quartic surfaces [PDF]
Journal of Symbolic Computation, 2006 We describe explicit methods of exhibiting elements of the Brauer groups of diagonal quartic surfaces. Using these methods, we compute the algebraic Brauer–Manin obstruction in two contrasting examples.
Martin Bright
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1993
This chapter is concerned with the classification of finite dimensional central division algebras over a given field k. In the case k = R, the Frobenius Theorem shows that R and H are the only finite dimensional central division algebras over R. This kind of classification is optimal in the sense that we have an explicit, easy-to-understand list of all
Benson Farb, R. Keith Dennis
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This chapter is concerned with the classification of finite dimensional central division algebras over a given field k. In the case k = R, the Frobenius Theorem shows that R and H are the only finite dimensional central division algebras over R. This kind of classification is optimal in the sense that we have an explicit, easy-to-understand list of all
Benson Farb, R. Keith Dennis
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ON THE BRAUER GROUP OF A COCOMMUTATIVE COALGEBRA
Communications in Algebra, 2001We construct a Mayer-Vietoris type exact sequence for the Brauer group of a cocommutative irreducible coalgebra C. As an application, the Brauer group of C and its universal connected coalgebra R(C) are related.
Cuadra, Juan +3 more
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Izvestiya: Mathematics, 2000
The author considers the Brauer group \(\text{Br}(V)\) and the cohomological Brauer group \(\text{Br}^\prime(V)\) of a smooth projective variety \(V\) over the perfect field \(k\). Let \(\ell\) be a prime. Assume that \(V\) has a \(k\)-rational point, so that \(\text{Br}(k) \subset \text{Br}^\prime(V)\).
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The author considers the Brauer group \(\text{Br}(V)\) and the cohomological Brauer group \(\text{Br}^\prime(V)\) of a smooth projective variety \(V\) over the perfect field \(k\). Let \(\ell\) be a prime. Assume that \(V\) has a \(k\)-rational point, so that \(\text{Br}(k) \subset \text{Br}^\prime(V)\).
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ON THE STRUCTURE OF THE BRAUER GROUP OF FIELDS
Mathematics of the USSR-Izvestiya, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Algebra and Its Applications, 2008
Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. A group is called a VZ-group if all its nonlinear irreducible characters vanish off the center.
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Two non-isomorphic finite groups form a Brauer pair if there exist a bijection for the conjugacy classes and a bijection for the irreducible characters that preserve all the character values and the power map. A group is called a VZ-group if all its nonlinear irreducible characters vanish off the center.
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Divisible abelian groups are Brauer groups
2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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