Graph coverings and (im)primitive homology: some new examples of exceptionally low degree

Destine Lee, Iris Rosenblum-Sellers, Jakwanul Safin +1

Given a finite covering of graphs $f:Y\to X$, it is not always the case that $H_1(Y;\mathbb{C})$ is spanned by lifts of primitive elements of ${\pi }_1(X)$. In this paper, we study g…