GRAPH COVERS AND GROUP EXTENSIONS A BACHELOR’S PROJECT IN MATH AT TU/E

Abstract. Finite groups can be constructed from smaller groups by means of extensions. In particular, if a group G has a normal subgroup N, then a ‘2-cocycle ’ is needed in addition to the ab-stract groups N and G/N in order to pin down G. In this project we want to use the theory of voltage covers of graphs to make this reconstruction of G from the triple N, G/N, and the cocycle geometric. 1