  In this short note we discuss certain examples of Legendrian submanifolds,
whose linearized Legendrian contact (co)homology groups over integers have
non-vanishing algebraic torsion. More precisely, for a given arbitrary finitely
generated abelian group $G$ and a positive integer $n\geq 3$, $n\neq 4$, we
construct examples of Legendrian submanifolds of the standard contact vector
space $\mathbb R^{2n+1}$, whose $n-1$-th linearized Legendrian contact
(co)homology over $\mathbb Z$ computed with respect to a certain augmentation
is isomorphic to $G$.
