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dc.contributor.authorMitchell, James D.
dc.contributor.authorMorayne, Michal
dc.contributor.authorPeresse, Yann
dc.date.accessioned2017-04-20T16:00:38Z
dc.date.available2017-04-20T16:00:38Z
dc.date.issued2010-09-21
dc.identifier.citationMitchell , J D , Morayne , M & Peresse , Y 2010 , ' GENERATING THE INFINITE SYMMETRIC GROUP USING A CLOSED SUBGROUP AND THE LEAST NUMBER OF OTHER ELEMENTS ' , Proceedings of the American Mathematical Society , vol. 139 , no. 2 . < http://www.ams.org/journals/proc/2011-139-02/S0002-9939-2010-10694-9/S0002-9939-2010-10694-9.pdf >
dc.identifier.issn0002-9939
dc.identifier.otherPURE: 10301399
dc.identifier.otherPURE UUID: 362f0fa0-61ff-4144-a723-8414774ccb53
dc.identifier.urihttp://hdl.handle.net/2299/17992
dc.descriptionJ. D. Mitchell, M. Morayne, and Y. Peresse, 'Generating the infinite symmetric group using a closed subgroup and the least number of other elements', Proceedings of te American Mathematical Society, Vol. 139 (2): 401-405, February 2011, version of record available online at http://www.ams.org/journals/proc/2011-139-02/S0002-9939-2010-10694-9/S0002-9939-2010-10694-9.pdf. © 2010 American Mathematical Society.
dc.description.abstractLet S∞ denote the symmetric group on the natural numbers N. Then S∞ is a Polish group with the topology inherited from NN with the product topology and the discrete topology on N. Let d denote the least cardinality of a dominating family for NN and let c denote the continuum. Using theorems of Galvin, and Bergman and Shelah we prove that if G is any subgroup of S∞ that is closed in the above topology and H is a subset of S∞ with least cardinality such that G ∪ H generates S∞, then |H|∈{0, 1, d,c}.en
dc.language.isoeng
dc.relation.ispartofProceedings of the American Mathematical Society
dc.subjectGroup Theory
dc.subjectTopological Algebra
dc.subjectInfinite Combinatorics
dc.titleGENERATING THE INFINITE SYMMETRIC GROUP USING A CLOSED SUBGROUP AND THE LEAST NUMBER OF OTHER ELEMENTSen
dc.contributor.institutionMathematics and Theoretical Physics
dc.contributor.institutionSchool of Physics, Engineering & Computer Science
dc.contributor.institutionDepartment of Physics, Astronomy and Mathematics
dc.description.statusPeer reviewed
dc.identifier.urlhttp://www.ams.org/journals/proc/2011-139-02/S0002-9939-2010-10694-9/S0002-9939-2010-10694-9.pdf
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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