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Topics of entropy in locally compact abelian groups
The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical tex...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2022
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| _version_ | 1867614259344572416 |
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| access_status_str | Open Access |
| author | Waka, Olwethu |
| author2 | Russo, Francesco G |
| author_browse | Russo, Francesco G Waka, Olwethu |
| author_facet | Russo, Francesco G Waka, Olwethu |
| author_sort | Waka, Olwethu |
| collection | Thesis |
| description | The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical textbook in group theory. A list of exercises, relevant to our purposes, has been selected, in order to introduce some recent aspects of topological entropy of locally compact abelian groups. It is worth to mention that many of the exercises, which have been solved in the present thesis, are subject to technicalities which require the application of theorems of decomposition for abelian groups. Therefore the logic of the solutions allows us to describe the topological entropy in presence of an appropriate factorization. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/36191 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:49:12.091Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/36191 Topics of entropy in locally compact abelian groups Waka, Olwethu Russo, Francesco G Mathematics and Applied Mathematics The present MSc thesis discusses some notions of abelian group theory in connection with recent topics of topological entropy of locally compact abelian groups. It has been used the reference of [D. J. S. Robinson, A Course in the Theory of Groups, Springer, 1996, New York], which is a classical textbook in group theory. A list of exercises, relevant to our purposes, has been selected, in order to introduce some recent aspects of topological entropy of locally compact abelian groups. It is worth to mention that many of the exercises, which have been solved in the present thesis, are subject to technicalities which require the application of theorems of decomposition for abelian groups. Therefore the logic of the solutions allows us to describe the topological entropy in presence of an appropriate factorization. 2022-03-22T09:50:49Z 2022-03-22T09:50:49Z 2021 2022-03-22T07:54:02Z Master Thesis Masters MSc http://hdl.handle.net/11427/36191 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Mathematics and Applied Mathematics Waka, Olwethu Topics of entropy in locally compact abelian groups |
| thesis_degree_str | Master's |
| title | Topics of entropy in locally compact abelian groups |
| title_full | Topics of entropy in locally compact abelian groups |
| title_fullStr | Topics of entropy in locally compact abelian groups |
| title_full_unstemmed | Topics of entropy in locally compact abelian groups |
| title_short | Topics of entropy in locally compact abelian groups |
| title_sort | topics of entropy in locally compact abelian groups |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/36191 |
| work_keys_str_mv | AT wakaolwethu topicsofentropyinlocallycompactabeliangroups |