# Conjugate-denseness is transitive

From Groupprops

This article gives the statement, and possibly proof, of a subgroup property (i.e., conjugate-dense subgroup) satisfying a subgroup metaproperty (i.e., transitive subgroup property)

View all subgroup metaproperty satisfactions | View all subgroup metaproperty dissatisfactions |Get help on looking up metaproperty (dis)satisfactions for subgroup properties

Get more facts about conjugate-dense subgroup |Get facts that use property satisfaction of conjugate-dense subgroup | Get facts that use property satisfaction of conjugate-dense subgroup|Get more facts about transitive subgroup property

## Statement

### Property-theoretic statement

The subgroup property of being a conjugate-dense subgroup is transitive.

### Verbal statement

Any conjugate-dense subgroup of a conjugate-dense subgroup is conjugate-dense.

## Proof

**PLACEHOLDER FOR INFORMATION TO BE FILLED IN**: [SHOW MORE]