Find splitting field and irreducible decomposition
47299
Factorize $x^8-x$ over $F_3$ and $F_{81}$
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
62183
Find the quotient field of $\mathbb{Z}[\sqrt {2}]$
7452
Splitting of primes in the compositum of fields
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
86957
Galois group of irreducible cubic equation
146801
Primary decomposition of an ideal
66656
I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
132572
Why this polynomial is irreducible?
63605
Irreducible polynomials and affine variety
6827
To identify field $Z[i]/(3)$
68317
Conjugacy class of $G$ splitting as Conjugacy class of $H\unlhd G$
55858
Irreducible polynomial is always separable in char 0 field
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
14918
Degree of splitting field of $X^n-1$ over some finite field
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?