 Subgroup distortion

For a finitely generated subgroup $H\le G$, subgroup distortion compares the intrinsic word length $|h{|}_H$ with the ambient word length $|h{|}_G$. The subgroup is undistorted exactly when its inclusion is a quasi-isometric embedding.

This is the subgroup word-metric instance of distortion.

Subgroup distortion refers to a phenomenon in which the characteristics, behaviors, or identities of individuals within a subgroup of a larger population are misrepresented or misunderstood, often due to stereotypes or biases. This can occur in various contexts, including social groups, organizational settings, and research.