EQUIVALENCES OF BIRCH AND SWINNERTON-DYER CONJECTURES OVER NON-ABELIAN EXTENSIONS OF ORDER 27

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 1,  2008, pp.47-51
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.1.047
Title & Authors
EQUIVALENCES OF BIRCH AND SWINNERTON-DYER CONJECTURES OVER NON-ABELIAN EXTENSIONS OF ORDER 27
Yu, Ho-Seog;

Abstract
By finding two characters of subgroups of the Heisenberg group $\small{H_{27}}$ whose induced characters are same, we prove that the Birch and Swinnerton-Dyer conjectures for two elliptic curves corresponding to the characters are equivalent.
Keywords
Birch and Swinnerton-Dyer conjecture;Heisenberg group;induced character;
Language
English
Cited by
References
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