Classifying totally categorical groups (and others) Original Research Article

Assume T is unidimensional, 1-based and every minimal type in T is locally finite. If H is an Λ -definable irreducible group, we find an irreducible supergroup G of H in acleq(H) such that any connected subgroup of Gn, n < ω, is the connected component of a subgroup linearly defined over the ring End∗(G). In some cases we can take G = H.