English

Automorphisms of perfect power series rings

Rings and Algebras 2018-07-02 v3 Number Theory

Abstract

Let R be a perfect ring of characteristic p. We show that the group of continuous R-linear automorphisms of the perfect power series ring over R is generated by the automorphisms of the ordinary power series ring together with Frobenius; this answers a question of Jared Weinstein.

Keywords

Cite

@article{arxiv.1602.09051,
  title  = {Automorphisms of perfect power series rings},
  author = {Kiran S. Kedlaya},
  journal= {arXiv preprint arXiv:1602.09051},
  year   = {2018}
}

Comments

4 pages; v3: final submitted version