Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set

Iwip endomorphisms of free groups and fixed points of graph selfmaps

“…Let Fpc(f ) denote the set of all the fixed point classes of f . For each fixed point class F ∈ Fpc(f ), a classical homotopy invariant index ind(f, F) ∈ Z that plays a central role in Nielsen fixed point theory (see [6,7]), is well-defined. For a group G, let rk(G) denote the rank of G, i.e., the minimal number of generators, and let End(G) (resp.…”