Nakajima's remark on Henn's proof

TL;DR

This paper addresses a gap in Henn's proof regarding large automorphism groups of function fields in positive characteristic, providing clarification and completion of the original argument.

Contribution

It fills a specific gap in Henn's proof about automorphism groups of function fields, enhancing the proof's validity.

Findings

Resolved a gap in Henn's proof

Confirmed the validity of large automorphism groups in the context

Strengthened the theoretical foundation of automorphism group analysis

Abstract

We fill up a gap in Henn's proof concerning large automorphism groups of function fields of degree 1 over an algebraically closed field of positive characteristic.