Presentations for the groups of order $p^6$ for prime $p\geq 7$

TL;DR

This paper catalogs presentations for groups of order p^6 for primes p ≥ 7, contributing to the classification and understanding of these groups within the SmallGroups library.

Contribution

It provides a comprehensive list of presentations for groups of order p^6 for primes p ≥ 7, expanding the existing group classification data.

Findings

List of presentations for groups of order p^6 for p ≥ 7

Enhancement of the SmallGroups library with new group presentations

Facilitates further research in group theory and classification

Abstract

We list those presentations for the groups of order $p^6$ for prime $p\geq 7$ which are distributed as part of the {\sc SmallGroups} library.