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

Pillay, Nathan Lingamurthi (2018-12)

Thesis (MSc)--Stellenbosch University, 2018.

Thesis

ENGLISH 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.

AFRIKAANSE 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.

Please refer to this item in SUNScholar by using the following persistent URL: http://hdl.handle.net/10019.1/104995
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