I will describe small presentations of fundamental groups of real moment-angle complexes (i.e. commutator subgroups of right-angled Coxeter groups) and of loop homology algebras of moment-angle complexes (i.e. commutator subalgebras in some partially commutative associative algebras) corresponding to flag simplicial complexes. These results continue the well-known parallel between the homotopy theory of moment-angle complexes and their real analogues.