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

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

Description

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

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/87183
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2003.11.012

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