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bn:00652824n
Noun Concept
Categories: Nilpotent groups, Properties of groups
EN
nilpotent group  Group lower central series  Group upper central series  Central series of a group  maximal class
EN
In mathematics, specifically group theory, a nilpotent group G is a group that has an upper central series that terminates with G. Equivalently, its central series is of finite length or its lower central series terminates with {1}. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, specifically group theory, a nilpotent group G is a group that has an upper central series that terminates with G. Equivalently, its central series is of finite length or its lower central series terminates with {1}. Wikipedia
Group that has an upper central series terminating with G Wikidata
IS A
solvable group
HAS KIND
Abelian group
HAS INSTANCE
quaternion group
Heisenberg group
DIFFERENT FROM
nilpotent
STUDIED BY
category theory
Wikipedia
EN
nilpotent group
Wikidata
EN
nilpotent group
Wikipedia Redirections
EN
Central series of a group, Group lower central series, Group Lower Central Series, Group Upper Central Series, Group upper central series, maximal class, Nil Lie algebra, Nilpotency class, nilpotent Lie group, Normalizer condition

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