On the definable generalized Bohr compactification of SL(2,Qp)

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dc.contributor.advisorBoxall, Gareth Johnen_ZA
dc.contributor.authorPillay, Nathan Lingamurthien_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division Mathematics.en_ZA
dc.date.accessioned2018-11-21T13:07:06Z
dc.date.accessioned2018-12-07T06:54:22Z
dc.date.available2018-11-21T13:07:06Z
dc.date.available2018-12-07T06:54:22Z
dc.date.issued2018-12
dc.descriptionThesis (MSc)--Stellenbosch University, 2018.en_ZA
dc.description.abstractENGLISH ABSTRACT : This paper provides an overview of existing knowledge regarding the socalled definable generalized Bohr compactification of the group SL(2, Qp) of 2 × 2 matrices with determinant 1 and entries in Qp. The (open) question of whether this definable generalized Bohr compactification coincides with the Ellis group of the action of SL(2, Qp) on its type space is also studied in detail. This includes a discussion on the topologies associated with the space of complete types over Qp concentrating on SL(2, Qp), as well as an investigation of the possibility of first-countability of this type space.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING : Die artikel gee ’n oorsig van die bestaande kennis in verband met die sogenaamde gedefinieerbare veralgemene Bohr kompaktifisering van die groep SL(2, Qp) van 2 × 2 matrikse met determinant 1 en inskrywings in Qp. Die (oop) vraag of die gedefineerbare veralgemene Bohr kompaktifisering ooreen stem met die Ellis groep van die aksie van SL(2, Qp) op sy tipe spasie word ook deeglik bestudeer. Dit sluit in ’n bespreking oor die topologieë wat geassosieer word met die ruimte van volledige tipes oor Qp wat gekonsentreer is op SL(2, Qp), sowel as die ondersoek van die eersteaftelbaarheid van hierdie tipe ruimte.af_ZA
dc.format.extentvi, 53 pagesen_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/104995
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectEllis group (Mathematics)en_ZA
dc.subjectBohr compactificationen_ZA
dc.subjectTopologyen_ZA
dc.subjectTopological dynamicsen_ZA
dc.subjectModel theoryen_ZA
dc.subjectUCTDen_ZA
dc.titleOn the definable generalized Bohr compactification of SL(2,Qp)en_ZA
dc.typeThesisen_ZA
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