Galois Groups and Fundamental Groups¶
Szamuely, T. (2009). Galois Groups and Fundamental Groups. Cambridge University Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Étale Algebra
- This yields a contravariant equivalence between finite étale `k`-algebras and finite continuous `G_k`-sets
This sourceFor the anti-equivalence of §1.5 between finite étale k-algebras and finite continuous Galois sets, contravariance included. For the splitting statement — base change to a separable closure turns a finite étale k-algebra of dimension n into (k^s)^n — proved in §1.5.
- This yields a contravariant equivalence between finite étale `k`-algebras and finite continuous `G_k`-sets
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