New 5-designs---revisited

TL;DR

This paper revisits and clarifies aspects of the original 'New 5-designs' paper, correcting errors and providing insights into the proofs related to combinatorial design theory.

Contribution

It offers corrections, clarifications, and commentary on the original work on 5-designs, including the Gleason-Prange theorem proof.

Findings

Corrections to previous errors in 'New 5-designs'

Clarification of the proof of the Gleason-Prange theorem

Inclusion of Chebotarev's theorem in the discussion

Abstract

This note comments on parts of "New 5-designs." We cite Chebotarev's theorem; we correct some minor errors and we clarify our proof of the Gleason-Prange theorem.