A note on groups definable in difference fields
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- by Piotr Kowalski and A. Pillay
- Proc. Amer. Math. Soc. 130 (2002), 205-212
- DOI: https://doi.org/10.1090/S0002-9939-01-06004-X
- Published electronically: May 22, 2001
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Abstract:
We prove that a group definable in a model of $ACFA$ is virtually definably embeddable in an algebraic group. We give an improved proof of the same result for groups definable in differentially closed fields. We also extend to the difference field context results on the unipotence of definable groups on affine spaces.References
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Bibliographic Information
- Piotr Kowalski
- Affiliation: Department of Mathematics, University of Wroclaw, pl Grunwaldzki 2/4, 50-384 Wroclaw, Poland
- MR Author ID: 658570
- Email: pkowa@math.uni.wroc.pl
- A. Pillay
- Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
- MR Author ID: 139610
- Email: pillay@math.uiuc.edu
- Received by editor(s): April 5, 2000
- Received by editor(s) in revised form: May 16, 2000
- Published electronically: May 22, 2001
- Additional Notes: The first author was supported by grant KBN 2 PO3A 020 18
The second author was supported by an NSF grant - Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 205-212
- MSC (2000): Primary 03C60
- DOI: https://doi.org/10.1090/S0002-9939-01-06004-X
- MathSciNet review: 1855638