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15
Math.TechQA.Club
2026-04-11 13:32:46
42
Views
Finite extensions
Published on
11 Apr 2026 - 13:32
#field-theory
44
Views
Finding an algebraic number $z \in \mathbb{C}$ with Galois group over $\mathbb{Q}(\sqrt{5})$ equal to $\mathbb{Z}/7\mathbb{Z}$
Published on
12 Apr 2026 - 3:26
#field-theory
#galois-theory
#extension-field
70
Views
Finding a counter-example for Gaussian-periods for non-primes
Published on
27 Mar 2026 - 21:05
#field-theory
#galois-theory
#roots-of-unity
#primitive-roots
702
Views
Are normal subgroups of finite index in an absolute Galois groups open?
Published on
20 Apr 2026 - 16:59
#abstract-algebra
#group-theory
#field-theory
#algebraic-number-theory
#profinite-groups
150
Views
Is this proof that $0x = 0$ correct?
Published on
25 Apr 2026 - 16:11
#abstract-algebra
#field-theory
#solution-verification
81
Views
Show that these elements are linearly independent
Published on
15 Apr 2026 - 10:57
#linear-algebra
#field-theory
#linear-transformations
#induction
#independence
595
Views
Can $\cos(2\pi/17)$ be written as nested square roots only?
Published on
13 Apr 2026 - 3:19
#trigonometry
#field-theory
#prime-numbers
#radicals
#nested-radicals
89
Views
Proof Kronecker Theorem: Help with Elementary Symmetric Functions
Published on
13 Apr 2026 - 13:15
#field-theory
#algebraic-number-theory
#diophantine-equations
46
Views
Square values of a polynomial
Published on
11 Apr 2026 - 8:49
#abstract-algebra
#field-theory
#finite-fields
88
Views
In a given field $F$, if $ab=0$, is it true that at least $a$ or $b$ has to be zero?
Published on
13 Apr 2026 - 20:59
#abstract-algebra
#ring-theory
#field-theory
63
Views
Justify adjoining roots of unity to solve a polynomial by radicals
Published on
13 Apr 2026 - 1:25
#polynomials
#field-theory
#galois-theory
233
Views
Subset of $M_2(\mathbb{R})$ isomorphic to a field?
Published on
15 Apr 2026 - 13:40
#linear-algebra
#abstract-algebra
#matrices
#field-theory
113
Views
The roots of an irreducible polynomial over $\Bbb Z_p$ and a useful equivalence
Published on
15 Apr 2026 - 12:36
#abstract-algebra
#ring-theory
#field-theory
#proof-explanation
#finite-fields
119
Views
If $K = F(\alpha)$ is a non separable and finite extension, then $T^K_F = 0$
Published on
09 Apr 2026 - 13:38
#abstract-algebra
#field-theory
#galois-theory
#trace
#separable-extension
50
Views
Polynomials of degree $n$ with $\Bbb{F}_p$ are always reducible in $\Bbb{F}_{p^n}$
Published on
17 Apr 2026 - 0:26
#polynomials
#field-theory
#finite-fields
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