Comment on: The groups of order $p^6$ ($p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

TL;DR

This paper reviews and summarizes errors found in Rodney James's 1980 work on groups of order p^6 for odd primes, clarifying inaccuracies in the original classification.

Contribution

It provides a detailed correction and clarification of the errors in the original classification of p^6 groups by James.

Findings

Identification of specific errors in James's classification

Clarification of the correct structure of p^6 groups

Improved understanding of group classifications for odd primes

Abstract

Over the years various errors have been identified in the 1980 paper of James on the groups of order $p^6$, where $p$ is an odd prime. Here we summarise them.