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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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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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Characters, Brauer characters, and local Brauer groups
Communications in Algebra, 2021Alexandre Turull
exaly
A Brauer-Clifford-long group for the category of dyslectic (S, H)-dimodule algebras
Sao Paulo Journal of Mathematical Sciences, 2021Thomas Guedenon
exaly