Isogenies of elliptic curves and the Morava stabilizer group
Algebraic Topology
2007-05-23 v1
Abstract
Let 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 \Gamma \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 \Gamma is dense in an index 2 subgroup of MS_2.
Keywords
Cite
@article{arxiv.math/0508079,
title = {Isogenies of elliptic curves and the Morava stabilizer group},
author = {Mark Behrens and Tyler Lawson},
journal= {arXiv preprint arXiv:math/0508079},
year = {2007}
}
Comments
16 pages, to appear in J. Pure Appl. Alg