<p> This thesis is a contribution to the theory of Steiner quadruple systems. The first chapter provides a construction of resolvable Steiner quadruple systems that is different from the known constructions. In the second chapter, we construct Steiner quadruple systems with an automorphism that consists of a cycle of length 2 plus a cycle of full length minus 2, and investigate the number of pairwise distinct systems of this kind. In the third chapter, we also construct non-S-cyclic Steiner quadruple systems, one of which is an answer to a question raised in [11], and also investigate the number of pairwise distinct systems.</p> / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17459 |
| Date | 04 1900 |
| Creators | Cho, Chung Je |
| Contributors | Rosa, A., Mathematics |
| Source Sets | McMaster University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
Page generated in 0.0023 seconds