Isogenies of elliptic curves and the Morava stabilizer group

dc.creatorBehrens, Mark
dc.creatorLawson, Tyler
dc.date2005-08-03
dc.date.accessioned2026-07-07T05:22:13Z
dc.date.available2026-07-07T05:22:13Z
dc.descriptionLet MS_2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over \br{FF}_p, O the ring of endomorphisms of C, and \ell a topological generator of Z_p^x (respectively Z_2^x/{+-1} if p = 2). We show that for p > 2 the group Γ\subseteq O[1/\ell]^x of quasi-endomorphisms of degree a power of \ell is dense in MS_2. For p = 2, we show that Γis dense in an index 2 subgroup of MS_2.
dc.description16 pages, to appear in J. Pure Appl. Alg
dc.identifierhttps://arxiv.org/abs/math/0508079
dc.identifierhttp://arxiv.org/abs/math/0508079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75973
dc.subjectAlgebraic Topology
dc.subject11R52; 14H52, 55Q51
dc.titleIsogenies of elliptic curves and the Morava stabilizer group
dc.typetext

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