Finitely generated conjugacy-separable group
Definition
A finitely generated conjugacy-separable group is a group that is both a finitely generated group and a conjugacy-separable 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: finitely generated group and conjugacy-separable 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 |
|---|---|---|---|---|
| finitely generated abelian group | |FULL LIST, MORE INFO |
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| finitely generated residually finite group | conjugacy-separable implies residually finite | |||
| Hopfian group | via finitely generated residually finite | |||
| finitely generated Hopfian group | ||||
| finitely generated group | ||||
| residually finite group | ||||
| conjugacy-separable group |