A remark on multivalued algebraic groups
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- by Anand Pillay PDF
- Proc. Amer. Math. Soc. 137 (2009), 2175-2180 Request permission
Abstract:
We point out how suitable algebraic $n$-valued groups (in the sense of Buchstaber) give rise, in a reasonably canonical manner, to algebraic groups. This is proved using the “group configuration theorem” of Hrushovski. In particular this applies to all algebraic $2$-valued groups.References
- Victor M. Buchstaber, $n$-valued groups: theory and applications, Mosc. Math. J. 6 (2006), no. 1, 57–84, 221 (English, with English and Russian summaries). MR 2265947, DOI 10.17323/1609-4514-2006-6-1-57-84
- Anand Pillay, Geometric stability theory, Oxford Logic Guides, vol. 32, The Clarendon Press, Oxford University Press, New York, 1996. Oxford Science Publications. MR 1429864
Additional Information
- Anand Pillay
- Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
- MR Author ID: 139610
- Email: pillay@maths.leeds.ac.uk
- Received by editor(s): December 25, 2007
- Received by editor(s) in revised form: July 22, 2008, and August 29, 2008
- Published electronically: December 18, 2008
- Additional Notes: The author was supported by a Marie Curie Chair EXC 024052 as well as EPSRC grant EP/F009712/1
- Communicated by: Julia Knight
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2175-2180
- MSC (2000): Primary 14L10; Secondary 03C45
- DOI: https://doi.org/10.1090/S0002-9939-08-09745-1
- MathSciNet review: 2495249