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Large Selmer groups over number fields

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Bartel, Alex (2010) Large Selmer groups over number fields. Mathematical Proceedings of the Cambridge Philosophical Society, Vol.148 (No.1). pp. 73-86. doi:10.1017/S0305004109990132 ISSN 0305-0041.

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Official URL: http://dx.doi.org/10.1017/S0305004109990132

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Abstract

Let p be a prime number and M a quadratic number field, M ≠ () if p ≡ 1 mod 4. We will prove that for any positive integer d there exists a Galois extension F/ with Galois group D2p and an elliptic curve E/ such that F contains M and the p-Selmer group of E/F has size at least pd.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Mathematical Proceedings of the Cambridge Philosophical Society
Publisher: Cambridge University Press
ISSN: 0305-0041
Official Date: 2010
Dates:
DateEvent
2010Published
Volume: Vol.148
Number: No.1
Page Range: pp. 73-86
DOI: 10.1017/S0305004109990132
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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