Rationally powered group of nilpotency class two

This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: rationally powered group and group of nilpotency class two
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Definition

A group $G$ is termed a rationally powered class two group or a rationally powered group of nilpotency class two if $G$ is a rationally powered group (i.e., it is powered over all primes) as well as a group of nilpotency class two.

Relation with other properties

Weaker properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
rationally powered nilpotent group				|FULL LIST, MORE INFO
gradable nilpotent group				|FULL LIST, MORE INFO