Engel group

id: engel-group-286-570202
title: Engel group
text: In mathematics, an element x of a Lie group or a Lie algebra is called an n-Engel element, named after Friedrich Engel, if it satisfies the n-Engel condition that the repeated commutator [...[[x,y],y], ..., y] with n copies of y is trivial. It is called an Engel element if it satisfies the Engel condition that it is n-Engel for some n. A Lie group or Lie algebra is said to satisfy the Engel or n-Engel conditions if every element does. Such groups or algebras are called Engel groups, n-Engel grou
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Engel_group
date created:
date modified: 2023-08-13T12:07:41Z
main entity: {"identifier":"Q5377481","url":"https://www.wikidata.org/entity/Q5377481"}
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