| 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 | Abstract: | 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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