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15
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Is this a valid way to extend the proof of the insolubility of the quintic?

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#polynomials #galois-theory #solvable-groups
112
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Polynomials in the extension of a complete field

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#general-topology #ring-theory #algebraic-number-theory #galois-theory
365
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Proof of Version of Krasner's Lemma

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#general-topology #ring-theory #commutative-algebra #algebraic-number-theory #galois-theory
1.2k
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Galois group solvable but $f$ not solvable.

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#abstract-algebra #galois-theory
214
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Galois Group of a Product

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#galois-theory #splitting-field
362
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Finite separable field extensions such that $KL/L$ and $K/K\cap L$ have non-isomorphic automorphism groups

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#abstract-algebra #field-theory #galois-theory #extension-field
864
Views

Galois groups of quintics

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#finite-groups #galois-theory #irreducible-polynomials #inverse-problems
912
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Solvability of Artin-Schreier Polynomial

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#group-theory #galois-theory #finite-fields #irreducible-polynomials
135
Views

Finding the Galois Correspondence of polynomial $t^4-2$

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#abstract-algebra #galois-theory
884
Views

If $E/F$ is a finite extension and $E$ is algebraically closed, then $F$ is perfect.

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#abstract-algebra #field-theory #galois-theory #extension-field
751
Views

Proving irreducibility of polynomial over various fields

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#abstract-algebra #group-theory #field-theory #galois-theory
206
Views

Find the field of intersection

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#abstract-algebra #field-theory #galois-theory
680
Views

Galois group of $x^{15}-1$

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#abstract-algebra #field-theory #galois-theory
958
Views

Galois theory reference request

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#abstract-algebra #reference-request #galois-theory #book-recommendation
322
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A question concerning cyclic field extensions.

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#field-theory #galois-theory #extension-field

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