Groups and nilpotent Lie rings whose order is the sixth power of a prime
Date
2004
Authors
Newman, Michael
O'Brien, E A
Vaughan-Lee, M R
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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
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Source
Journal of Algebra
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Journal article
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2037-12-31