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9 Questions

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9	Deducing results in linear algebra from results in commutative algebra
7	Sheaves and complex analysis
5	Determining subfields of $\mathbb{Q}(\zeta_3,\sqrt[3]{2})$ without Galois theory?
4	Choosing an isomorphism $\tau:\overline{\mathbf{Q}}_p\simeq\mathbf{C}$; how do things depend on choice of $\tau$?
3	If $V$ is an irreducible group representation over a non-algebraically closed field $F$, what's $\dim_F\, (\operatorname{Hom}_G(V,V))$?

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431 Reputation

+5	Sheaves and complex analysis
+25	Determining subfields of $\mathbb{Q}(\zeta_3,\sqrt[3]{2})$ without Galois theory?
+5	Given a normal basis $\{g(a)\| g\in Gal(L/K)\}$ of $L/K$ finite Galois, can we express $g(a)g'(a)$ relative to this basis?
+10	Why is a number field always of the form $\mathbb Q(\alpha)$ for $\alpha$ algebraic?

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5 Answers

votes activity newest

9	étale fundamental group as unification of galois theory and covering theory
3	Commutative matrices are multiples of the identity
2	Bijection between p-adic field embeddings in unramified extensions
2	Why is a number field always of the form $\mathbb Q(\alpha)$ for $\alpha$ algebraic?
1	Book(s) Request to Prepare for Algebraic Number Theory

21 Tags

9 reference-request × 3	2 field-theory × 4
9 etale-cohomology	2 algebraic-number-theory
9 algebraic-geometry	2 proof-strategy
3 linear-algebra × 3	1 abstract-algebra
3 matrices	1 number-theory

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