상세정보
Export to Refworks부가기능
Combinatorially Contracting Geodesics
상세 프로파일
| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Combinatorially Contracting Geodesics. |
| 개인저자 | Eike, Joshua. |
| 단체저자명 | Brandeis University. Mathematics. |
| 발행사항 | [S.l.]: Brandeis University., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 70 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088378007 |
| 학위논문주기 | Thesis (Ph.D.)--Brandeis University, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Charney, Ruth. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | Let G be a finitely generated group. We show that for any generating set A, the language consisting of all geodesics in Cay(G, A) with a contracting property is a regular language. As an application, we use this to resolve a question posed by Osin about acylindrically hyperbolic groups. The proof is not constructive in the generality of all finitely-generated groups. In the final chapter, we focus on cubical groups and especially right-angled Artin groups. We show explicitly how to construct finite state automata to recognize contracting geodesics in right-angled Artin groups based on the defining graph of the group. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
