For a cyclotomic polynomial with p = 5, prove that $G(Q(\alpha)/Q)$ is isomorphic to $C_4$
74964
Showing Galois Group is Abelian
90433
Isomorphisms between $(\mathbb Z_4,+)$ and $(U_5,*)$
141911
Prove that these two fields are isomorphic.
145221
Ring isomorphism (polynomials in one variable)
148909
Irreducible polynomials of degree 3 and 5
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
86174
Finding an isomorphism between these two finite fields
4996
Proving $Gal(K/\mathbb{Q})$ is $D_4$.
107716
Show that $G$ is cyclic
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
55050
How to show that $\mathbb{Q}(i,\sqrt[4]{1+i} )$ is not contained in any cyclotomic extension of $\mathbb{Q}(i)$?
75988
Explicit isomorphism $S_4/V_4$ and $S_3$
90437
Let $G = \langle a\rangle$ a cyclic group of order m. Prove that G is isomorphic with $Z_m$.
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
85752
Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
130944
Greatest common divisor of polynomials over $\mathbb{Q}$
69046
Proof of $\mathbb{Q}$ is not cyclic