Question about fields extension and induction.
27784
Proving that $\left(\mathbb Q[\sqrt p_1,\dots,\sqrt p_n]:\mathbb Q\right)=2^n$ for distinct primes $p_i$.
80538
Fields extensions over isomorphic fields of different degrees
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
56551
Multiplicative group of field extension over base field
77300
Induction and electromagnetic fields
133695
Induction, 0'1 and 1's sequence fun question
84562
Proof using only field axioms
16384
Proving a result in a given field
94601
Mathematical Induction Question About A Basis Step
101869
Field Extension Notation
7567
Degree of Field Extensions and $F(\alpha)$
81844
How would you show that field automorphisms fix prime subfields?
69935
Field extensions of finite degree and primitive elements
126552
Number of subfields of finite field
153589
Integral basis of an extension of number fields
135807
I'm having trouble with a proof by induction
34387
Is the number of irreducibles in any number field infinite?