Fractional Fibonacci groups with an odd number of generators

The Fibonacci groups F(n) are known to exhibit significantly different behaviour depending on the parity of n. We extend results for odd n family Fractional Fk/l(n). show that group Fk/l(n) is not fundamental an orientable hyperbolic 3-orbifold finite volume. obtain concerning existence torsion in (where odd) paying particular attention Fk(n) and Fk/l(3), observe consequences asphericity relative presentations their shift extensions. if Fk/l(3) non-cyclic 3-manifold then they isomorphic direct product quaternion Q8 a cyclic group.