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http://hdl.handle.net/11375/6080
Title: | Combinatorial Designs With Prescribed Automorphism Types |
Authors: | Cho, Je Chung |
Advisor: | Rosa, Alexander |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | Aug-1983 |
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> |
URI: | http://hdl.handle.net/11375/6080 |
Identifier: | opendissertations/1414 2279 1275327 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
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fulltext.pdf | 3.56 MB | Adobe PDF | View/Open |
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