Rationally powered group of nilpotency class two

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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
View other group property conjunctions OR view all group properties

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