On the Σ2-invariants of the generalised R. Thompson groups of type F

The Σ2-invariants of the generalised Thompson groupFn,∞=〈x0,x1,…,xn,…|xixj=xi+n−1 for i>j⩾0〉 are calculated for n⩾3. The case n=2 was solved in Bieri et al. (2010) [5].