Isogenies of elliptic curves and the Morava stabilizer group |
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Authors: | Mark Behrens Tyler Lawson |
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Institution: | Department of Mathematics, MIT, Cambridge, MA 02139, USA |
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Abstract: | Let S2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over , O the ring of endomorphisms of C, and ? a topological generator of (or if p=2). We show that for p>2 the group Γ⊆O1/?]× 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. |
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Keywords: | primary 11R52 secondary 14H52 55Q51 |
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