Global LCS-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 LCS-Lazard Lie group if it satisfies the following two conditions:

  1. It is a nilpotent group.
  2. Its lower central series powering threshold is \infty.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
global Lazard Lie group |FULL LIST, MORE INFO
LCS-Baer Lie group group of nilpotency class two where the derived subgroup is 2-powered |FULL LIST, MORE INFO

Weaker properties

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