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The probabilistic zeta function of the free prosupersolvable group of finite rank
Thesis (MSc) -- Stellenbosch University, 2014.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch University
2015
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| _version_ | 1867613826821652480 |
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| access_status_str | Open Access |
| author | De Franceschi, Giovanni |
| author2 | Lucchini, Andrea |
| author_browse | De Franceschi, Giovanni Lucchini, Andrea |
| author_facet | Lucchini, Andrea De Franceschi, Giovanni |
| author_sort | De Franceschi, Giovanni |
| collection | Thesis |
| description | Thesis (MSc) -- Stellenbosch University, 2014. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/95777 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:42:19.474Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Stellenbosch University |
| publisherStr | Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/95777 The probabilistic zeta function of the free prosupersolvable group of finite rank De Franceschi, Giovanni Lucchini, Andrea Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. mathemaical sciences, finita rank Thesis (MSc) -- Stellenbosch University, 2014. ENGLISH ABSTRACT: Introduction: Let G be a group and let d(G) be the minimum cardinality of a generating set for G (e.g. d(G) = 1 if and only if G is cyclic). Our question is: given a positive integer k, what is the probability to generating G with k random elements of G? This probability is defined in the trivial way if G is finite: it is the ratio between the number of k-tuples generating G and the number of all possible k-tuples. 2015-01-13T11:46:52Z 2014-12 Thesis http://hdl.handle.net/10019.1/95777 en_ZA application/pdf application/pdf Stellenbosch University Universita degli studi di Padova |
| spellingShingle | mathemaical sciences, finita rank De Franceschi, Giovanni The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title | The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title_full | The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title_fullStr | The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title_full_unstemmed | The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title_short | The probabilistic zeta function of the free prosupersolvable group of finite rank |
| title_sort | probabilistic zeta function of the free prosupersolvable group of finite rank |
| topic | mathemaical sciences, finita rank |
| url | http://hdl.handle.net/10019.1/95777 |
| work_keys_str_mv | AT defranceschigiovanni theprobabilisticzetafunctionofthefreeprosupersolvablegroupoffiniterank AT defranceschigiovanni probabilisticzetafunctionofthefreeprosupersolvablegroupoffiniterank |