Arvasi, ZekeriyaKuzpınarı, Tufan SaitUslu, Enver Önder13.07.20192019-07-2913.07.20192019-07-2920091532-00731532-0081https://doi.org/10.4310/HHA.2009.v11.n2.a8https://hdl.handle.net/20.500.12451/6138We introduce the notion of a 3-crossed module, which extends the notions of a 1-crossed module (Whitehead) and a 2-crossed module (Conduche). We show that the category of 3-crossed modules is equivalent to the category of simplicial groups having a Moore complex of length 3. We make explicit the relationship with the cat(3)-groups (Loday) and the 3-hypercomplexes (Cegarra-Carrasco), which also model algebraically homotopy 4-types.eninfo:eu-repo/semantics/openAccessCrossed Module2-Crossed ModuleSimplicial GroupMoore ComplexArticle11216118710.4310/HHA.2009.v11.n2.a8Q3WOS:000281747000002N/A