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On the Computation and Composition of Belyi? Maps and Dessins D'enfants
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Bond, Jacob A. |
| 단체저자명 | Purdue University. Mathematics. |
| 서명/저자사항 | On the Computation and Composition of Belyi? Maps and Dessins D'enfants. |
| 발행사항 | [S.l.] : Purdue University., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 125 p. |
| 소장본 주기 | School code: 0183. |
| ISBN | 9780438018792 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Adviser: Edray H. Goins. |
| 요약 | This dissertation centers on computing with dessins d'enfants, in the form of constellations, and on the monodromy group of compositions of Belyi? maps. |
| 요약 | 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 |
| 요약 | 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 |
| 요약 | 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 |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International79-10B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14997886 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00027136 | 510 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |
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