Combinatorial Group Theory Lifting a spanning tree from the quotient graph to the original Cayley graph. This is an essential idea in section 3.1, where we characterize Free Groups as the groups that can act freely on trees."Chapters1. Cayley Graph of Groups:2. Free Groups:3.1 Group Actions on Trees, Fundamental Groups3.2 Free Actions, Characterization of Free Groups, Nielsen-Schreier Theorem4. Group Presentations. Knot and Link Groups, Wirtinger and Dehn PresentationMatthijs MuisDouble BSc student in Mathematics and Computer Science