Bartel, A. (2010) Large Selmer groups over number fields. Mathematical Proceedings of the Cambridge Philosophical Society, 148(1), pp. 73-86. (doi: 10.1017/S0305004109990132)
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Abstract
Let p be a prime number and M a quadratic number field, M ≠ ℚ() if p ≡ 1 mod 4. We will prove that for any positive integer d there exists a Galois extension F/ℚ with Galois group D2p and an elliptic curve E/ℚ such that F contains M and the p-Selmer group of E/F has size at least pd.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Bartel, Professor Alex |
Authors: | Bartel, A. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Mathematical Proceedings of the Cambridge Philosophical Society |
Publisher: | Cambridge University Press |
ISSN: | 0305-0041 |
ISSN (Online): | 1469-8064 |
Published Online: | 15 July 2009 |
Copyright Holders: | Copyright © 2009 Cambridge Philosophical Society |
First Published: | First published in Mathematical Proceedings of the Cambridge Philosophical Society 148(1):73-86 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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