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A remark on multivalued algebraic groups

Author(s): Anand Pillay
Journal: Proc. Amer. Math. Soc. 137 (2009), 2175-2180.
MSC (2000): Primary 14L10; Secondary 03C45
Posted: December 18, 2008
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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:

1.
V. M. Buchstaber, $ n$-valued groups: theory and applications, Moscow Math. Journal, vol. 6, no. 1 (2006), 57-84. MR 2265947 (2007i:20102)

2.
A. Pillay, Geometric Stability Theory, The Clarendon Press, Oxford Univ. Press, New York, 1996. MR 1429864 (98a:03049)

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Additional Information:

Anand Pillay
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom
Email: pillay@maths.leeds.ac.uk

DOI: 10.1090/S0002-9939-08-09745-1
PII: S 0002-9939(08)09745-1
Received by editor(s): December 25, 2007,
Received by editor(s) in revised form: July 22, 2008, and August 29, 2008
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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