Abstract

We compute a presentation of the fundamental group of a higherrank graph using a coloured graph description of higherrank graphs developed by the third author. We compute the fundamental groups of several examples from the literature. Our results fit naturally into the suite of known geometrical results about higherrank graphs when we show that the abelianization of the fundamental group is the homology group. We end with a calculation which gives a nonstandard presentation of the fundamental group of the Klein bottle to the one normally found in the literature.