Open Research will be unavailable from 3am to 7am on Thursday 4th December 2025 AEDT due to scheduled maintenance.
 

Groups and nilpotent Lie rings whose order is the sixth power of a prime

Date

Authors

Newman, Michael
O'Brien, E A
Vaughan-Lee, M R

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

We prove that there are 3p2+39p+344+24gcd(p-1,3)+11gcd (p-1,4)+2gcd(p-1,5) isomorphism types of groups and nilpotent Lie rings with order p6 for every prime p≥5. We establish the result, and power-commutator presentations for the groups, in various ways

Description

Keywords

Citation

Source

Journal of Algebra

Book Title

Entity type

Access Statement

License Rights

Restricted until

2037-12-31