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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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


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.
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  • Shelah, Saharon. Representation over orders of elementary classes.
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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:
  • MathSciNet review: 2361885