Pseudo-reductive group

id: pseudo-reductive-group-265-11277122
title: Pseudo-reductive group
text: In mathematics, a pseudo-reductive group over a field k is a smooth connected affine algebraic group defined over k whose k-unipotent radical is trivial. Over perfect fields these are the same as (connected) reductive groups, but over non-perfect fields Jacques Tits found some examples of pseudo-reductive groups that are not reductive. A pseudo-reductive k-group need not be reductive. Pseudo-reductive groups arise naturally in the study of algebraic groups over function fields of positive-dimens
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Pseudo-reductive_group
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date modified: 2024-02-16T15:39:12Z
main entity: {"identifier":"Q7254443","url":"https://www.wikidata.org/entity/Q7254443"}
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integrity: 13

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