TL;DR
The paper characterizes the automorphism group of perfect power series rings over perfect rings of characteristic p, showing it is generated by classical automorphisms and Frobenius, thus answering a specific algebraic question.
Contribution
It establishes that all automorphisms of the perfect power series ring are generated by ordinary automorphisms and Frobenius, clarifying the structure of these automorphism groups.
Findings
Automorphisms are generated by classical automorphisms and Frobenius.
Answers Jared Weinstein's question on automorphism structure.
Provides a complete description of the automorphism group.
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.
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