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About
References to 'splitting field'
1.
algebraic closure of a finite field
by
Algeboy
2.
calculating the splitting of primes
by
mathcam
3.
characterization of abelian extensions of exponent n
by
rm50
4.
discriminant
by
rspuzio
5.
equivalent conditions for normality of a field extension
by
azdbacks4234
6.
example of nonperfect field
by
CWoo
7.
example of normal extension
by
alozano
8.
examples of trace and norm
by
polarbear
9.
existence of extensions of field isomorphisms to splitting fields
by
azdbacks4234
10.
field extension with Galois group $Q_8$
by
rm50
11.
finite field
by
yark
12.
Galois criterion for solvability of a polynomial by radicals
by
djao
13.
Galois group
by
djao
14.
Galois group of a biquadratic extension
by
rm50
15.
Galois group of a cubic polynomial
by
rm50
16.
Galois group of a quartic polynomial
by
rm50
17.
integral closures in separable extensions are finitely generated
by
rm50
18.
Krasner's lemma
by
rm50
19.
linear recurrence
by
Mathprof
20.
normal extension
by
djao
21.
primitive element theorem
by
alozano
22.
proof of casus irreducibilis for real fields
by
rm50
23.
proof of characterization of perfect fields
by
mclase
24.
proof of fundamental theorem of Galois theory
by
pbruin
25.
proof of Galois group of the compositum of two Galois extensions
by
rm50
26.
proof of Kummer theory
by
rm50
27.
proof that the compositum of a Galois extension and another extension is Galois
by
rm50
28.
proof that the cyclotomic polynomial is irreducible
by
djao
29.
quartic polynomial with Galois group $D_8$
by
rm50
30.
radical extension
by
djao
31.
separable
by
djao
32.
simultaneous triangularisation of commuting matrices over any field
by
lars_h
33.
topics on field extensions and Galois theory
by
rm50
34.
trace
by
mhale
35.
Tschirnhaus transformations
by
mathcam