Global UCS-Lazard Lie group
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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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A group is termed a global UCS-Lazard Lie group if there exists a positive integer such that both the following two conditions hold:
- The group is a nilpotent group of nilpotency class less than or equal to .
- For any positive integer with , the upper central series member is powered over all the primes less than or equal to .
Relation with other 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|