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

• Yu, Ho-Seog (Department of Applied Mathematics, Sejong University)
• Accepted : 2008.01.04
• Published : 2008.03.25

#### Abstract

By finding two characters of subgroups of the Heisenberg group $H_{27}$ whose induced characters are same, we prove that the Birch and Swinnerton-Dyer conjectures for two elliptic curves corresponding to the characters are equivalent.

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