| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000433750 |
| 005 | | 20200226102632 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781088378007 |
| 035 | |
▼a (MiAaPQ)AAI22615587 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Eike, Joshua. |
| 245 | 10 |
▼a Combinatorially Contracting Geodesics. |
| 260 | |
▼a [S.l.]:
▼b Brandeis University.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 70 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B. |
| 500 | |
▼a Advisor: Charney, Ruth. |
| 502 | 1 |
▼a Thesis (Ph.D.)--Brandeis University, 2019. |
| 506 | |
▼a This item must not be sold to any third party vendors. |
| 520 | |
▼a 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. |
| 590 | |
▼a School code: 0021. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a Brandeis University.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 81-04B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0021 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493317
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1008102 |
| 991 | |
▼a E-BOOK |