DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Baik, Hyungryul | - |
dc.contributor.advisor | 백형렬 | - |
dc.contributor.author | Oh, Sangrok | - |
dc.date.accessioned | 2023-06-22T19:33:48Z | - |
dc.date.available | 2023-06-22T19:33:48Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=996368&flag=dissertation | en_US |
dc.identifier.uri | http://hdl.handle.net/10203/308557 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 수리과학과, 2022.2,[ii, 57 p. :] | - |
dc.description.abstract | We define the intersection complex for the universal cover of a compact weakly special square complex and show that it is a quasi-isometry invariant. By using this quasi-isometry invariant, we study the quasi-isometric classification of 2-dimensional right-angled Artin groups and planar graph 2-braid groups. Our results cover two well-known cases of 2-dimensional right-angled Artin groups: (1) those whose defining graphs are trees and (2) those whose outer automorphism groups are finite. Finally, we show that there are infinitely many graph 2-braid groups which are quasi-isometric to right-angled Artin groups and infinitely many which are not. | - |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | Quasi-isometry invariants of weakly special square complexes | - |
dc.title.alternative | 특별한 입방다항체의 준등장 불변량 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 325007 | - |
dc.description.department | 한국과학기술원 :수리과학과, | - |
dc.contributor.alternativeauthor | 오상록 | - |
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