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Minimal polynomial for $\zeta+\zeta^5$ for a primitive seventh root of unity $\zeta$

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#abstract-algebra #field-theory #galois-theory #cyclotomic-polynomials
7.7k
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Is normal extension of normal extension always normal?

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#abstract-algebra #ring-theory #galois-theory
41
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Finite field extensions as projective group algebras

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#abstract-algebra #galois-theory #extension-field
165
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What is : $ \ \mathrm{Gal} ( \overline{ \mathbb{Q} } / \mathbb{Q} ) $?

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#galois-theory #galois-representations
1.4k
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Cyclotomic field of $5$ th root of Unity

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#abstract-algebra #galois-theory #cyclotomic-polynomials
1k
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Automorphisms of splitting field of $x^p-x-a$

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#galois-theory #finite-fields #splitting-field
2.3k
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Transitivity Property of Separable Extensions

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#abstract-algebra #field-theory #galois-theory
411
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Any abstract algebra book with programming (homework) assignment?

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#abstract-algebra #reference-request #galois-theory #math-software #computational-algebra
2.1k
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Showing Galois Group is Abelian

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#abstract-algebra #field-theory #galois-theory
476
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Non-isomorphic field extensions of $\mathbb{Q}$

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#field-theory #galois-theory #extension-field
156
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Why do nth roots (radicals) have closed forms whilst other polynomial roots do not?

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#polynomials #field-theory #galois-theory
284
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The Galois group of a polynomial

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#group-theory #galois-theory
1.3k
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Field extension $\mathbb Q(f)/\mathbb Q$ and its Galois group

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#field-theory #galois-theory
156
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Groups, inverse Galois problem and transcendence degrees

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#group-theory #galois-theory
416
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Galois theory, had it solved any major problems beside its original applications to classical problems?

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#abstract-algebra #galois-theory #galois-representations #galois-cohomology #galois-connections

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