On Torsion in Linearized Legendrian Contact Homology

In this short note, we discuss certain examples of Legendrian submanifolds, whose linearized contact (co)homology groups over integers have non-vanishing algebraic torsion. More precisely, for a given arbitrary finitely generated abelian group [Formula: see text] and positive integer text], construct submanifolds the standard vector space text]th computed with respect to augmentation is isomorphic text].