Isogenies of elliptic curves and the Morava stabilizer group
Mark Behrens, Tyler Lawson
Abstract
Let MS2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over FFp, O the ring of endomorphisms of C, and a topological generator of Zpx (respectively Z2x/+-1 if p = 2). We show that for p > 2 the group Γ⊂eq O[1/]x of quasi-endomorphisms of degree a power of is dense in MS2. For p = 2, we show that Γis dense in an index 2 subgroup of MS2.
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