Minimal bounded index subgroup for dependent theories
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- by Saharon Shelah PDF
- Proc. Amer. Math. Soc. 136 (2008), 1087-1091 Request permission
Abstract:
For a dependent theory $T$, in ${\mathfrak {C}}_{T}$ for every type definable group $G$, the intersection of type definable subgroups with bounded index is a type definable subgroup with bounded index.References
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Additional Information
- Saharon Shelah
- Affiliation: The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel
- Address at time of publication: Department of Mathematics, Hill Center-Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019
- MR Author ID: 160185
- ORCID: 0000-0003-0462-3152
- Received by editor(s): January 22, 2006
- Received by editor(s) in revised form: July 19, 2006, July 30, 2006, and October 19, 2006
- Published electronically: November 9, 2007
- Additional Notes: The author would like to thank the Israel Science Foundation for partial support of this research (Grant No. 242/03), Publication 876. I would like to thank Alice Leonhardt for the beautiful typing.
- Communicated by: Julia Knight
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1087-1091
- MSC (2000): Primary 03C45; Secondary 03C60
- DOI: https://doi.org/10.1090/S0002-9939-07-08654-6
- MathSciNet review: 2361885