Classifying totally categorical groups
Abstract
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 such that any connected subgroup of Gn, n< ω, is the connected component of a subgroup linearly defined over the ring End*. In some cases we can take G = HOther Versions
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How can I increase my downloads?References found in this work
Unidimensional theories are superstable.Ehud Hrushovski -1990 -Annals of Pure and Applied Logic 50 (2):117-138.
Locally modular theories of finite rank.Steven Buechler -1986 -Annals of Pure and Applied Logic 30 (1):83-94.
Uncountable theories that are categorical in a higher power.Michael Chris Laskowski -1988 -Journal of Symbolic Logic 53 (2):512-530.
Unidimensional theories are superstable.Katsuya Eda -1990 -Annals of Pure and Applied Logic 50 (2):117-137.
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