I'm looking for division algebras over $\Bbb Q_{47}$. I guess my best bet is to calculate the Brauer group $\operatorname{Br}(\Bbb Q_{47})$. What's the best way of performing this calculation? Should I calculate $``$step by step$"$ $\operatorname{Br}(K/\Bbb Q_{47})$, where $K$ is a finite extension of $\Bbb Q_{47}$?
2026-03-25 23:10:45.1774480245
$\operatorname{Br}(\Bbb Q_{47})$
221 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ALGEBRAIC-NUMBER-THEORY
- Splitting of a prime in a number field
- algebraic integers of $x^4 -10x^2 +1$
- Writing fractions in number fields with coprime numerator and denominator
- Tensor product commutes with infinite products
- Introduction to jacobi modular forms
- Inclusions in tensor products
- Find the degree of the algebraic numbers
- Exercise 15.10 in Cox's Book (first part)
- Direct product and absolut norm
- Splitting of primes in a Galois extension
Related Questions in NONCOMMUTATIVE-ALGEBRA
- If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?
- In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?
- Are there rational coefficients that hold such properties?
- A characterization for minimal left ideals of semisimple rings
- $A \subseteq B \subseteq C$, with $A$ and $C$ simple rings, but $B$ is not a simple ring
- Simplicity of Noetherian $B$, $A \subseteq B\subseteq C$, where $A$ and $C$ are simple Noetherian domains
- Completion of localization equals the completion
- Representations of an algebra
- A characterization of semisimple module related to anihilators
- Counterexample request: a surjective endomorphism of a finite module which is not injective
Related Questions in GROUP-COHOMOLOGY
- Group cohomology of $\mathrm{GL}(V)$
- How to compute group cohomology $H^2_\sigma(\mathbb{Z}\times \mathbb{Z}, \mathbb{Z}_2\times \mathbb{Z}_2)$ with nontrivial $G$-module
- Cohomological Interpretation of Modular Forms on a Modular Curve
- Group cohomology with the coefficient $\frac{1}{n}\mathbb{Z}/\mathbb{Z}$
- A $G$-module admits a surjection from a $G$-module, which is free as an abelian group, such that the kernel is free
- Different constructions of group homology
- What is the pushout of $D^n \longleftarrow S^{n-1} \longrightarrow D^n$?
- Group theoretic interpretation of the cohomology of $K(G, n)$
- Action of a group on set of morphisms
- Crossed homomorphism/derivation on free group
Related Questions in GALOIS-COHOMOLOGY
- Square classes of a real closed field
- Surjectivity of the inv map in Global class field theory
- $H^1(G, \mathbb{Z}/p \mathbb{Z})$ and linearly independent elements in open subgroups.
- First cohomology group of the $n$-torsion of an elliptic curve
- Surjectivity of map of étale sheaves
- Hilbert 90 and K-forms
- How can a point on an elliptic curve be considered a galois cohomology class?
- Tate Cohomology of Squares
- Galois extension of exponent $mp^r$ in characteristic $p$
- What should one know before learning galois cohomology
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?