dc.contributor.author |
Conder, Marston |
en |
dc.contributor.author |
Jones, Vaughan |
en |
dc.date.accessioned |
2012-03-30T08:44:56Z |
en |
dc.date.issued |
2006 |
en |
dc.identifier.citation |
Journal of Algebra 300(1 SPEC. ISS.):44-56 2006 |
en |
dc.identifier.issn |
0021-8693 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/16197 |
en |
dc.description.abstract |
Some new observations are made about imprimitive permutation groups associated with subfactors of von Neuman algebras. Of particular interest are examples of a group G containing two maximal subgroups H and K such that G = H K, and such that the action of G on the space of cosets of H ∩ K has small rank (few suborbits). The rank 6 case turns out to correspond to the action of the collineation group on flags of a Desarguesian projective plane, and a special case of interest for rank 7 corresponds to the action of a 4-transitive group on ordered pairs of distinct points. Some other new (and unexpected) fundamental properties of groups are described along the way. |
en |
dc.publisher |
Elsevier Inc. |
en |
dc.relation.ispartofseries |
Journal of Algebra |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.
Details obtained from http://www.sherpa.ac.uk/romeo/issn/0021-8693/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Highly transitive imprimitivities |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.jalgebra.2005.11.031 |
en |
pubs.issue |
1 |
en |
pubs.begin-page |
44 |
en |
pubs.volume |
300 |
en |
dc.rights.holder |
Copyright: Elsevier Inc. |
en |
pubs.end-page |
56 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
69677 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Mathematics |
en |
pubs.record-created-at-source-date |
2010-09-01 |
en |