Newbetuts
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New posts in field-theory
Field reductions
abstract-algebra
field-theory
Every ordered field has a subfield isomorphic to $\mathbb Q$?
real-analysis
field-theory
ordered-fields
real-numbers
Cyclotomic polynomials and Galois group
abstract-algebra
field-theory
galois-theory
cyclotomic-polynomials
Every finite group is the Galois group of a field extension
abstract-algebra
field-theory
finite-groups
galois-theory
$F(u) = F(u^2)$ if $u$ is algebraic of odd degree
abstract-algebra
polynomials
proof-verification
field-theory
Subfield of $\mathbb{R}$ such that $\Bbb R/K$ is finite. [duplicate]
field-theory
extension-field
Correct my intuition: every Galois group is $S_n$, and other obviously incorrect statements
abstract-algebra
field-theory
galois-theory
A question regarding normal field extensions and Galois groups
abstract-algebra
field-theory
galois-theory
Is $\sqrt{2}\in\mathbb{Q}(\sqrt[8]{3})$ or not?
field-theory
Showing that $R(x)$ is a proper subset of $R((x))$ if $R$ is a field
abstract-algebra
field-theory
power-series
How to find the "relative" defining polynomial of an extension of number fields?
field-theory
galois-theory
algebraic-number-theory
ramification
Is there a subfield $F$ of $\Bbb R$ such that there is an embedding $F(x) \hookrightarrow F$?
abstract-algebra
field-theory
extension-field
$[K : F]_s = [K : L]_s [L : F]_s $ and $[K : F]_i = [K : L]_i [L : F]_i $
abstract-algebra
field-theory
galois-theory
galois-extensions
Why is the collection of all algebraic extensions of F not a set?
elementary-set-theory
field-theory
Multiplicative group of an infinite field is not cyclic
field-theory
cyclic-groups
The field of algebraic numbers as a recursive structure
logic
reference-request
field-theory
model-theory
computability
Characteristic 3 analogue of nimbers?
field-theory
combinatorial-game-theory
Primitive element theorem w/o Galois theory (as in Lang's Algebra)
abstract-algebra
field-theory
A field extension of degree 2 is a Normal Extension.
field-theory
extension-field
Can all polynomials of a given degree be reducible?
abstract-algebra
polynomials
field-theory
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