Global UCS-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 UCS-Lazard Lie group if there exists a positive integer $c$ such that both the following two conditions hold:

1. The group is a nilpotent group of nilpotency class less than or equal to $c$.
2. For any positive integer $i$ with $i\leq c$, the upper central series member $Z^{i}(G)$ is powered over all the primes less than or equal to $c+1-i$.

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
UCS-Baer Lie group				|FULL LIST, MORE INFO