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

dc.contributor.author	Newman, Michael
dc.contributor.author	O'Brien, E A
dc.contributor.author	Vaughan-Lee, M R
dc.date.accessioned	2015-12-13T23:09:50Z
dc.date.issued	2004
dc.date.updated	2015-12-12T08:20:56Z
dc.description.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
dc.identifier.issn	0021-8693
dc.identifier.uri	http://hdl.handle.net/1885/87183
dc.publisher	Elsevier
dc.source	Journal of Algebra
dc.title	Groups and nilpotent Lie rings whose order is the sixth power of a prime
dc.type	Journal article
local.bibliographicCitation.lastpage	401
local.bibliographicCitation.startpage	383
local.contributor.affiliation	Newman, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliation	O'Brien, E A, University of Auckland
local.contributor.affiliation	Vaughan-Lee, M R, University of Oxford
local.contributor.authoruid	Newman, Michael, u4592491
local.description.embargo	2037-12-31
local.description.notes	Imported from ARIES
local.description.refereed	Yes
local.identifier.absfor	010101 - Algebra and Number Theory
local.identifier.ariespublication	MigratedxPub16361
local.identifier.citationvolume	278
local.identifier.doi	10.1016/j.jalgebra.2003.11.012
local.identifier.scopusID	2-s2.0-3242667182
local.type.status	Published Version

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