lower central series - translation to ρωσικά
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lower central series - translation to ρωσικά

GROUP THAT HAS AN UPPER CENTRAL SERIES TERMINATING WITH G
Central series of a group; Group Lower Central Series; Group lower central series; Group Upper Central Series; Group upper central series; Nil Lie algebra; Nilpotent Lie group; Nilpotency class; Normalizer condition; Maximal class
  • A portion of the [[Cayley graph]] of the discrete [[Heisenberg group]], a well-known nilpotent group.

lower central series         
NORMAL SERIES OF SUBGROUPS WHICH INDICATE ALMOST-COMMUTATIVITY
Lower central series; Upper central series; Lower Central Series; Upper Central Series; Hypercenter; Hypercentral group; Nilpotent residual; Hypocentral group; Jennings series
нижний центральный ряд
central series         
NORMAL SERIES OF SUBGROUPS WHICH INDICATE ALMOST-COMMUTATIVITY
Lower central series; Upper central series; Lower Central Series; Upper Central Series; Hypercenter; Hypercentral group; Nilpotent residual; Hypocentral group; Jennings series

математика

центральный ряд

hypercenter         
NORMAL SERIES OF SUBGROUPS WHICH INDICATE ALMOST-COMMUTATIVITY
Lower central series; Upper central series; Lower Central Series; Upper Central Series; Hypercenter; Hypercentral group; Nilpotent residual; Hypocentral group; Jennings series

общая лексика

гиперцентр

Ορισμός

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муж., мор. конец борта при окончании шканец, юта и бака.
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Βικιπαίδεια

Nilpotent group

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}.

Intuitively, 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. The concept is credited to work in the 1930s by Russian mathematician Sergei Chernikov.

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.

Μετάφραση του &#39lower central series&#39 σε Ρωσικά