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Is the following polynomial solvable in radicals?

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#field-theory #galois-theory
44
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Separable but not reduced?

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#abstract-algebra #commutative-algebra #field-theory #extension-field
94
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Hartshorne: Definition of $K^*$ where $K$ a function field of scheme.

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#algebraic-geometry #field-theory #notation
61
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Equivalent condition for $F[a^{\frac 1p}]=F[b^{\frac 1p}]$ for $\mathrm{char}F$ coprime to $p$

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#field-theory #galois-theory #extension-field
640
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Slick proof $\operatorname{Gal}(\mathbb Q[e^\frac{2\pi i}p, \sqrt[\leftroot{-2}\uproot{2}p]{2}]/\mathbb Q)\cong S_p$?

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#field-theory #galois-theory #extension-field
462
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Calculating Galois group of $\mathbb Q(\cos \frac \pi 8)/\mathbb{Q}$

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#abstract-algebra #field-theory #galois-theory #extension-field
520
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What is the simplest example of the tame representation type?

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#abstract-algebra #vector-spaces #field-theory #modules #representation-theory
167
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Converse statement related to primitive element theorem

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#abstract-algebra #polynomials #field-theory
333
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Let $E=\mathbb{Q}(2^{1/3})$. What is the normal closure of $E/E$?

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#abstract-algebra #field-theory #extension-field
1.8k
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Totally real Galois extension of given degree

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#field-theory #galois-theory
469
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Vakil's FOAG, Exercise 9.2.K: Transcendental Complex Numbers

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#algebraic-geometry #field-theory #schemes
96
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Proof verification: Show that the fixed field is $\mathbb{Q}(\sqrt{3})$

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#abstract-algebra #proof-verification #field-theory #galois-theory
405
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What does the notation $\overline{\mathbb R}$ mean in that context?

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#field-theory #notation
1.6k
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Raising element of field to characteristic power

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#abstract-algebra #field-theory
4.7k
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Field with $125$ elements

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#abstract-algebra #field-theory #finite-fields #irreducible-polynomials

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