Inner form

id: inner-form-192-12580339
title: Inner form
text: In mathematics, an inner form of an algebraic group G over a field K is another algebraic group H such that there exists an isomorphism ϕ between G and H defined over K ¯ and in addition, for every Galois automorphism σ ∈ G a l the automorphism ϕ − 1 ∘ ϕ σ is an inner automorphism of G . Through the correspondence between K -forms and the Galois cohomology H 1 this means that H is associated to an element of the subset H 1 where I n n is the subgroup of inner automorphisms of G . Being inner for
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Inner_form
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date modified: 2023-11-09T06:55:15Z
main entity: {"identifier":"Q6035641","url":"https://www.wikidata.org/entity/Q6035641"}
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