Authors: Tanović, Predrag 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Simple groups and the number of countable models
Journal: Archive for Mathematical Logic
Volume: 52
Issue: 7-8
First page: 779
Last page: 791
Issue Date: 1-Nov-2013
Rank: M23
ISSN: 0933-5846
DOI: 10.1007/s00153-013-0343-x
Let T be a complete, superstable theory with fewer than 2א0 countable models. Assuming that generic types of infinite, simple groups definable in Teq are sufficiently non-isolated we prove that ωω is the strict upper bound for the Lascar rank of T.
Keywords: Binding group | Lascar's rank | NENI type | Stable group | Superstable theory
Publisher: Springer Link

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