Isogenies of elliptic curves and the Morava stabilizer group
نویسندگان
چکیده
Let S2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over Fp, O the ring of endomorphisms of C, and ` a topological generator of Zp (respectively Z2 /{±1} if p = 2). We show that for p > 2 the group Γ ⊆ O[1/`]× of quasi-endomorphisms of degree a power of ` is dense in S2. For p = 2, we show that Γ is dense in an index 2 subgroup of S2. AMS classification: Primary 11R52. Secondary 14H52, 55Q51.
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