query: On a certain representation of the Galois group of $X^n-a$ from Lang's Algebra
positive_passages.docid: 18198
positive_passages.text: Lang Algebra Chapter 6 Theorem 9.4
negative_passages.docid: 50785
negative_passages.text: Galois group of $x^4-5$
negative_passages.docid: 7967
negative_passages.text: Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
negative_passages.docid: 28934
negative_passages.text: Presentation of SL$(n,\mathbb{Z}_p)$
negative_passages.docid: 108914
negative_passages.text: Splitting field of $x^n-a$ contains all $n$ roots of unity
negative_passages.docid: 56647
negative_passages.text: Structure of $Gal(\mathbb{Q}(\zeta_{15})/\mathbb{Q})$?
negative_passages.docid: 10627
negative_passages.text: When is $X^n-a$ is irreducible over F?
negative_passages.docid: 145561
negative_passages.text: About the additive group and the multiplicative group of a field
negative_passages.docid: 70981
negative_passages.text: Galois Group of $x^5+1$
negative_passages.docid: 22632
negative_passages.text: Galois group of $x^4-2$
negative_passages.docid: 37677
negative_passages.text: Radical of $\mathfrak{gl}_n$
negative_passages.docid: 144211
negative_passages.text: a second course in abstract algebra
negative_passages.docid: 9129
negative_passages.text: Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
negative_passages.docid: 139100
negative_passages.text: A question on the group algebra $k[G]$ of a finite abelian group
negative_passages.docid: 151705
negative_passages.text: $SL_n(\mathbb R)$ is a subgroup of kernel of $f\in$ Hom$(GL_n(\mathbb R), A)$, $A$ is an abelian group.
negative_passages.docid: 134840
negative_passages.text: Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
negative_passages.docid: 3203
negative_passages.text: Quotient group $\mathbb Z^n/\ \text{im}(A)$