| LDR | | 02141nmm uu200409 4500 |
| 001 | | 000000332809 |
| 005 | | 20240805171628 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438018792 |
| 035 | |
▼a (MiAaPQ)AAI10809531 |
| 035 | |
▼a (MiAaPQ)purdue:22759 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Bond, Jacob A. |
| 245 | 10 |
▼a On the Computation and Composition of Belyi? Maps and Dessins D'enfants. |
| 260 | |
▼a [S.l.] :
▼b Purdue University.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 125 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B. |
| 500 | |
▼a Adviser: Edray H. Goins. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Purdue University, 2018. |
| 520 | |
▼a This dissertation centers on computing with dessins d'enfants, in the form of constellations, and on the monodromy group of compositions of Belyi? maps. |
| 520 | |
▼a To begin, a discussion of known effective and efficient algorithms for computing constellations, Belyi? Maps, and dessins d'enfants from one another is presented. Following this is an analysis of how to use double cosets in an optimal way to cou |
| 520 | |
▼a The method given by Wood for computing the constellation of a composition of Belyi? maps is further developed and extended to allow Belyi? maps which are defined over the complex numbers. By utilizing the fact that the monodromy group of the com |
| 520 | |
▼a Finally, using the previous results, a cryptographic protocol utilizing compositions of Belyi? maps is proposed. A probabilistic method for efficiently deciding if the monodromy group of a Belyi? map is either the alternating or symmetric group |
| 590 | |
▼a School code: 0183. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Purdue University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-10B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0183 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997886
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |