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searching for Separable extension 6 found (32 total)

Haran's diamond theorem (339 words) [view diff] exact match in snippet view article find links to article

condition for a separable extension of a Hilbertian field to be Hilbertian. Let K be a Hilbertian field and L a separable extension of K. Assume there

Algebraic torus (3,967 words) [view diff] exact match in snippet view article find links to article

a torus over S an algebraic group whose extension to some finite separable extension L is a finite product of copies of Gm/L. In general, the multiplicity

Iwahori subgroup (805 words) [view diff] exact match in snippet view article find links to article

These groups do not always agree. For example, let L be a finite separable extension of K of ramification degree e. The torus L×/K× is compact. However

Integral element (5,304 words) [view diff] exact match in snippet view article find links to article

integrally closed domain with field of fractions K. If L/K is a finite separable extension, then the integral closure A ′ {\displaystyle A'} of A in L is a

Algebraic K-theory (10,647 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \mu _{m}} denotes the group of m-th roots of unity in some separable extension of k. This extends to ∂ n : k ∗ × ⋯ × k ∗ → H n ( k , μ m ⊗ n )

Moy–Prasad filtration (4,086 words) [view diff] exact match in snippet view article find links to article

restriction of G m {\displaystyle \mathbb {G} _{\text{m}}} along a finite separable extension ℓ {\displaystyle \ell } of k {\displaystyle k} , so that T ( k )