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

dc.contributor.authorNewman, Michael
dc.contributor.authorO'Brien, E A
dc.contributor.authorVaughan-Lee, M R
dc.date.accessioned2015-12-13T23:09:50Z
dc.date.issued2004
dc.date.updated2015-12-12T08:20:56Z
dc.description.abstractWe 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.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/1885/87183
dc.publisherElsevier
dc.sourceJournal of Algebra
dc.titleGroups and nilpotent Lie rings whose order is the sixth power of a prime
dc.typeJournal article
local.bibliographicCitation.lastpage401
local.bibliographicCitation.startpage383
local.contributor.affiliationNewman, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationO'Brien, E A, University of Auckland
local.contributor.affiliationVaughan-Lee, M R, University of Oxford
local.contributor.authoremailu4592491@anu.edu.au
local.contributor.authoruidNewman, Michael, u4592491
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.ariespublicationMigratedxPub16361
local.identifier.citationvolume278
local.identifier.doi10.1016/j.jalgebra.2003.11.012
local.identifier.scopusID2-s2.0-3242667182
local.identifier.uidSubmittedByMigrated
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
01_Newman_Groups_and_nilpotent_Lie_rings_2004.pdf
Size:
251.33 KB
Format:
Adobe Portable Document Format
Back to topicon-arrow-up-solid
 
APRU
IARU
 
edX
Group of Eight Member

Acknowledgement of Country

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.


Contact ANUCopyrightDisclaimerPrivacyFreedom of Information

+61 2 6125 5111 The Australian National University, Canberra

TEQSA Provider ID: PRV12002 (Australian University) CRICOS Provider Code: 00120C ABN: 52 234 063 906