Residually finite nilpotent group
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
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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 |