Newbetuts
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New posts in class-field-theory
roots of unity, wild ramification and units of norm one in local fields
algebraic-number-theory
class-field-theory
local-field
ramification
Cube roots of five
number-theory
class-field-theory
cubic-reciprocity
The maximal unramified extension of a local field may not be complete
field-theory
algebraic-number-theory
p-adic-number-theory
class-field-theory
Maximal abelian extension unramified outside a set of primes
number-theory
algebraic-number-theory
class-field-theory
Brauer Group of $\mathbb{Q}_2$
abstract-algebra
field-theory
class-field-theory
Haar Measure for Algebraic Number Theory: What Should I Know?
measure-theory
reference-request
algebraic-topology
algebraic-number-theory
class-field-theory
Hilbert class field of $\mathbb{Q}(\sqrt{730})$.
algebraic-number-theory
class-field-theory
$\mathbb{Q}(\sqrt{p^*})$ is contained in the ring class field of conductor $p$
field-theory
galois-theory
algebraic-number-theory
class-field-theory
complex-multiplication
Ideal class "group" of Lipschitz (fully-integer) quaternions
number-theory
quaternions
class-field-theory
history and/or motivation for cohomology in class field theory
algebraic-number-theory
homology-cohomology
class-field-theory
$2^n$-th rational reciprocity laws
number-theory
reference-request
class-field-theory
quadratic-reciprocity
gauss-sums
(Simple?) applications of Class Field Theory?
number-theory
algebraic-number-theory
class-field-theory
Algebraic closure of $k((t))$
abstract-algebra
extension-field
class-field-theory
On the maximal abelian pro-$p$ extension unramified outside $p$ and the Leopoldt's conjecture
number-theory
solution-verification
algebraic-number-theory
class-field-theory
$\mathbb{Q}(i)$ has no unramified extensions
abstract-algebra
algebraic-number-theory
class-field-theory
Given $d \equiv 5 \pmod {10}$, prove $\mathcal{O}_{\mathbb{Q}(\sqrt{d})}$ never has unique factorization
algebraic-number-theory
class-field-theory
unique-factorization-domains
How does topology enter Number theory and how we can grasp its essence?
analysis
algebraic-geometry
galois-theory
algebraic-number-theory
class-field-theory
For each number field $K$ with place $\mathfrak{p}$, prove that $K_{\mathfrak{p}}^{\mathrm{ab}} = K_{\mathfrak{p}} K^{\mathrm{ab}}$
number-theory
algebraic-number-theory
p-adic-number-theory
class-field-theory
$L$-function, easiest way to see the following sum?
abstract-algebra
number-theory
algebraic-number-theory
analytic-number-theory
class-field-theory
CFT via Brauer groups vs via ideles
number-theory
algebraic-number-theory
class-field-theory
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