THE GEOMETRY OF PURELY LOXODROMIC SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS.

We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group A(Г) fulfill equivalent conditions that parallel characterizations of convex cocompactness in mapping class groups Mod(S). In particular, such subgroups are quasiconvex in A(Г). In addition, we identify a milder condition for a finitely generated subgroup of A(Г) that guarantees it is free, undistorted, and retains finite generation when intersected with A(Λ) for subgraphs Λ of Г. These results have applications to both the study of convex cocompactness in Mod(S) and the way in which certain groups can embed in right-angled Artin groups. [ABSTRACT FROM AUTHOR]