Residually finite nilpotent group

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Definition

A residually finite nilpotent group is a group that is both a residually finite group and a nilpotent group.

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: residually finite group and nilpotent group
View other group property conjunctions OR view all group properties

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
residually finite abelian group
finite nilpotent group
conjugacy-separable nilpotent group

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
residually finite solvable group