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15
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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
582
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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
126
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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
228
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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
124
Views

Cohomological proof of Wedderburn's theorem on the finite division algebra

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#finite-fields #homological-algebra #group-cohomology #brauer-group
665
Views

Direct product of group with itself mod diagonal subgroup

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#group-theory #quadratic-forms #group-cohomology #symplectic-linear-algebra #brauer-group
107
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Serre's proof of $ \operatorname{Br}(K/k) = H^2(K/k)$

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#abstract-algebra #brauer-group
185
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The local invariant map is a group homomorphism

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#class-field-theory #local-field #brauer-group
171
Views

Field with vanishing Brauer group which is not $C_1$

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#algebraic-number-theory #brauer-group
224
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
159
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Are all central simple algebras unital?

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#abstract-algebra #division-algebras #brauer-group
271
Views

Construction of the Brauer Group

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#abstract-algebra #reference-request #tensor-products #brauer-group
468
Views

Question on fields with trival Brauer group

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#abstract-algebra #proof-verification #brauer-group
237
Views

Brauer groups, Milnor k theory and group cohomology

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#group-cohomology #brauer-group
349
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Equivalent definitions of the Brauer group

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

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