Kummer theory on the product of an elliptic curve by the multiplicative group
- 1 January 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 22 (1) , 83-88
- https://doi.org/10.1017/s001708950000450x
Abstract
This note extends classical results on certain Galois groups attached to onedimensional algebraic groups. We prove that the fields arising from the division of a fixed set of rational points on the product of an elliptic curve by the multiplicative group are as “large” as possible.Keywords
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