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15
319
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Showing that a Severi-Brauer Variety with a point is trivial

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#algebraic-geometry #arithmetic-geometry #brauer-group
571
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Brauer group of global fields

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#algebraic-geometry #algebraic-number-theory #arithmetic-geometry #class-field-theory #brauer-group
120
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Degree $n$ extension of local field splits degree $n$ division algebra

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#number-theory #local-field #division-algebras #brauer-group
219
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Brauer group of the field of Laurent series with coefficients in a finite field

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#finite-fields #laurent-series #division-algebras #brauer-group
117
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Cohomological proof of Wedderburn's theorem on the finite division algebra

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#finite-fields #homological-algebra #group-cohomology #brauer-group
657
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Direct product of group with itself mod diagonal subgroup

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#group-theory #quadratic-forms #group-cohomology #symplectic-linear-algebra #brauer-group
99
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Serre's proof of $ \operatorname{Br}(K/k) = H^2(K/k)$

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#abstract-algebra #brauer-group
180
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The local invariant map is a group homomorphism

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#class-field-theory #local-field #brauer-group
165
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Field with vanishing Brauer group which is not $C_1$

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#algebraic-number-theory #brauer-group
219
Views

Brauer Group for a Global Field with $l$-roots of unity $l\neq \text{char}(F)$

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#algebraic-number-theory #class-field-theory #brauer-group
153
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Are all central simple algebras unital?

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#abstract-algebra #division-algebras #brauer-group
265
Views

Construction of the Brauer Group

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#abstract-algebra #reference-request #tensor-products #brauer-group
463
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Question on fields with trival Brauer group

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#abstract-algebra #proof-verification #brauer-group
232
Views

Brauer groups, Milnor k theory and group cohomology

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#group-cohomology #brauer-group
344
Views

Equivalent definitions of the Brauer group

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#abstract-algebra #homological-algebra #brauer-group

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