Isogenies of elliptic curves and the Morava stabilizer group

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:207

Article

Behrens, Mark ; Lawson, Tyler

关键词: Morava stabilizer group;    supersingular elliptic curves;    quaternion algebras;   

DOI  :  10.1016/j.jpaa.2005.09.007

来源: Elsevier

【 摘 要 】

Let S-2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over F-p, O the ring of endomorphisms of C, and l a topological generator of Z(p)(x) (or Z(2)(x)/{+/- 1} if p = 2). We show that for p > 2 the group Gamma subset of O[1/l](x) of quasi-endomorphisms of degree a power of e is dense in S-2. For p = 2, we show that Gamma is dense in an index 2 subgroup of S2. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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