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 \le 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