Abstract
We establish a criterion that implies the acylindrical hyperbolicity of many
Artin groups admitting a visual splitting. This gives a variety of new examples
of acylindrically hyperbolic Artin groups, including many Artin groups of
FC-type. Our approach relies on understanding when parabolic subgroups are
weakly malnormal in a given Artin group. We formulate a conjecture for when
this happens, and prove it for several classes of Artin groups, including all
spherical-type, all two-dimensional, and all even FC-type Artin groups. In
addition, we establish some connections between several conjectures about Artin
groups, related to questions of acylindrical hyperbolicity, weak malnormality
of parabolic subgroups, and intersections of parabolic subgroups.