query: Degree of a finite field extension. How to find?
positive_passages.docid: 19525
positive_passages.text: Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
negative_passages.docid: 78350
negative_passages.text: When does a finite ring become a finite field?
negative_passages.docid: 80538
negative_passages.text: Fields extensions over isomorphic fields of different degrees
negative_passages.docid: 139499
negative_passages.text: The algebraic closure of a finite field and its Galois group
negative_passages.docid: 155750
negative_passages.text: Why does $\mathbb{C}$ have transcendence degree $\mathfrak{c}$ over $\mathbb{Q}$?
negative_passages.docid: 47091
negative_passages.text: How to construct finite fields of any prime power order?
negative_passages.docid: 60057
negative_passages.text: number of quadratic residues in finite field
negative_passages.docid: 68551
negative_passages.text: character degrees of finite simple groups: an elementary question
negative_passages.docid: 129153
negative_passages.text: Is it Galois extension?
negative_passages.docid: 115129
negative_passages.text: Constructing an explicit isomorphism between finite extensions of finite fields
negative_passages.docid: 132133
negative_passages.text: Number of elements of a finite field
negative_passages.docid: 23526
negative_passages.text: Complexity of arithmetic in a finite field?
negative_passages.docid: 103654
negative_passages.text: A finite field extension that is not simple
negative_passages.docid: 58490
negative_passages.text: Polynomials, finite fields and cardinality/dimension considerations
negative_passages.docid: 57884
negative_passages.text: Number of monic irreducible polynomials of prime degree $p$ over finite fields
negative_passages.docid: 68790
negative_passages.text: Do we have $K(\beta)=K(\beta^2)$ for field extension of odd degree?
negative_passages.docid: 131460
negative_passages.text: Example of finite field extension where root not separable