Global LUCS-Lazard Lie group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition

A group is termed a global LUCS-Lazard Lie group if there exists a positive integer c such that:

  1. G is a nilpotent group of nilpotency class at most c.
  2. The following equivalent formulations:

Equivalence of definitions

Further information: equivalence of definitions of global LUCS-Lazard Lie group

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
LUCS-Baer Lie group |FULL LIST, MORE INFO
global Lazard Lie group |FULL LIST, MORE INFO