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Proceedings of the Edinburgh Mathematical Society (1)

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Theta Groups and Products of Abelian and Rational Varieties
Yuri G. Zarhin
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Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014

Published online by Cambridge University Press:

17 December 2013, pp. 299-304
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We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question posed by Vladimir L. Popov.