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DC Field | Value | Language |
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dc.contributor.advisor | Rosa, Alexander | en_US |
dc.contributor.author | Cho, Je Chung | en_US |
dc.date.accessioned | 2014-06-18T16:34:06Z | - |
dc.date.available | 2014-06-18T16:34:06Z | - |
dc.date.created | 2010-04-14 | en_US |
dc.date.issued | 1983-08 | en_US |
dc.identifier.other | opendissertations/1414 | en_US |
dc.identifier.other | 2279 | en_US |
dc.identifier.other | 1275327 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/6080 | - |
dc.description.abstract | <p>In this thesis we deal with the following question: given a permutation α on a set V, does there exist a certain block design on V admitting α as an automorphism?</p> <p>We are able to give a (complete or partial) answer to this question for the following: 1) 3- and 4-rotational Steiner triple systems,</p> <p>2) 3-regular Steiner triple systems,</p> <p>3) Steiner triple systems with an involution fixing precisely three elements,</p> <p>4) 1-rotational triple systems,</p> <p>5) cyclic extended triple systems,</p> <p>6) 1-, 2- and 3-rotational extended triple systems,</p> <p>7) 2-, 3- and 4-regular extended triple systems,</p> <p>8) 1- and 3-rotational directed triple systems,</p> <p>9) 1-rotational Mendelsohn triple systems,</p> <p>10) cyclic extended Mendelsohn triple systems,</p> <p>11) 1-rotational extended Mendelsohn triple systems.</p> <p>We also present a recursive doubling construction for cyclic Steiner quadruple systems, and construct the latter for several orders.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Combinatorial Designs With Prescribed Automorphism Types | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 3.56 MB | Adobe PDF | View/Open |
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