Name: Automorphisms of the supersingular isogeny graph
Creator: Mayo, Sam
Keywords: Mathematics - Number Theory, FOS: Mathematics, 0102 computer and information sciences, Number Theory (math.NT), 0101 mathematics, 01 natural sciences, 14H52, 14G50

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2023 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 93, page 102,314 (issn: 1071-5797,

Authors: Mayo, Sam;

doi: 10.1016/j.ffa.2023.102314 , 10.48550/arxiv.2305.08158

arXiv: http://arxiv.org/abs/2305.08158

Automorphisms of the supersingular isogeny graph

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Abstract

We provide a condition for which the supersingular $l$-isogeny graph in characteristic $p$ has only one nontrivial automorphism, given by the action of Frobenius. For a fixed $p$, our condition is known to hold for a density 1 set of primes $l$.

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 14H52, 14G50

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