English

Automorphisms of the Supersingular Isogeny Graph

Number Theory 2023-11-30 v2

Abstract

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

Keywords

Cite

@article{arxiv.2305.08158,
  title  = {Automorphisms of the Supersingular Isogeny Graph},
  author = {Sam Mayo},
  journal= {arXiv preprint arXiv:2305.08158},
  year   = {2023}
}
R2 v1 2026-06-28T10:34:02.599Z