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- Q1755242 subject Q7003933.
- Q1755242 subject Q8680038.
- Q1755242 abstract "In group theory, a nilpotent group is a group that is "almost abelian". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable.Nilpotent groups arise in Galois theory, as well as in the classification of groups. They also appear prominently in the classification of Lie groups.Analogous terms are used for Lie algebras (using the Lie bracket) including nilpotent, lower central series, and upper central series.".
- Q1755242 thumbnail HeisenbergCayleyGraph.png?width=300.
- Q1755242 wikiPageExternalLink 1183537230.
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- Q1755242 wikiPageWikiLink Q7003933.
- Q1755242 wikiPageWikiLink Q734209.
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- Q1755242 wikiPageWikiLink Q7644153.
- Q1755242 wikiPageWikiLink Q840023.
- Q1755242 wikiPageWikiLink Q8680038.
- Q1755242 wikiPageWikiLink Q868169.
- Q1755242 wikiPageWikiLink Q874429.
- Q1755242 wikiPageWikiLink Q92552.
- Q1755242 comment "In group theory, a nilpotent group is a group that is "almost abelian". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable.Nilpotent groups arise in Galois theory, as well as in the classification of groups.".
- Q1755242 label "Nilpotent group".
- Q1755242 depiction HeisenbergCayleyGraph.png.