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dc.contributor.authorStokes, Tim E.en_NZ
dc.contributor.authorHawthorn, Ianen_NZ
dc.contributor.authorManoharan, Sivaen_NZ
dc.date.accessioned2015-11-04T22:32:36Z
dc.date.available2015en_NZ
dc.date.available2015-11-04T22:32:36Z
dc.date.issued2015en_NZ
dc.identifier.citationStokes, T. E., Hawthorn, I., & Manoharan, S. (2015). Groups with fix-set quasi-order. Algebra Universalis. http://doi.org/10.1007/s00012-015-0349-9en
dc.identifier.issn0002-5240en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/9707
dc.description.abstractIf X is a set, the fix-set quasiorder on a group of permutations of X is the quasiorder induced by containment of the fix-sets of elements of SX. Axioms for such quasiorders on groups have previously been given. We generalise these to allow non-faithful group actions, the resulting abstract quasiorders being called fix-orders. We characterise the possible fix-orders on a given group G in terms of certain families of subgroups of G. The special case in which the members of the defining family of subgroups are all normal is considered. Software is used to construct and analyse the lattices of fix-orders of many small finite groups.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherSpringer Baselen_NZ
dc.rightsThis is an author’s accepted version of an article published in the journal: Algebra Universalis. © 2015 Springer Basel.
dc.titleGroups with fix-set quasi-orderen_NZ
dc.typeJournal Article
dc.identifier.doi10.1007/s00012-015-0349-9en_NZ
dc.relation.isPartOfAlgebra Universalisen_NZ
pubs.begin-page229en_NZ
pubs.elements-id129619
pubs.end-page239en_NZ
pubs.issue3en_NZ
pubs.volume74en_NZ


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