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Connectivity at infinity for right angled Artin groups. (English) Zbl 1029.20018
Summary: We establish sufficient conditions implying semistability and connectivity at infinity properties for CAT(0) cubical complexes. We use this, along with the geometry of cubical $$K(\pi,1)$$’s to give a complete description of the higher connectivity at infinity properties of right angled Artin groups. Among other things, this determines which right angled Artin groups are duality groups. Applications to group extensions are also included.

MSC:
 20F65 Geometric group theory 20F36 Braid groups; Artin groups 57M07 Topological methods in group theory
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References:
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