KnowraFree groupLinked fromLinked fromThe 11 pages that link to Free group, each with the reason it gives.All 11Broader topic 3Related 6Narrower topic 1Compared with 1Fundamental groupRelated: Wedges of circles have free fundamental groups, making graph examples explicit.Cayley graphRelated: Its Cayley graph is a tree, making it a basic model.FunctorRelated: The free-group construction extends maps of sets to homomorphisms of groups.Hausdorff paradoxRelated: Rotations about two suitably chosen axes generate the free-group structure used in the decomposition.Ping-pong lemmaRelated: The ping-pong conditions establish that the chosen generators satisfy no nontrivial relations.Andrews–Curtis conjectureRelated: Balanced presentations encode relators as words in a free group.