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The Residual Finiteness of Triangle ...

Meyer, Greyson,

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The Residual Finiteness of Triangle Artin Groups /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Residual Finiteness of Triangle Artin Groups // Greyson Meyer.
Author:	Meyer, Greyson,
Description:	1 electronic resource (91 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-10, Section: B.
Contained By:	Dissertations Abstracts International86-10B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31840912
ISBN:	9798310167476

The Residual Finiteness of Triangle Artin Groups /
Meyer, Greyson,

The Residual Finiteness of Triangle Artin Groups /Greyson Meyer. - 1 electronic resource (91 pages)

Source: Dissertations Abstracts International, Volume: 86-10, Section: B.

We prove that all triangle Artin groups of the form \uD835\uDC342,3,2\uD835\uDC5B where \uD835\uDC5B > 3 are residually finite. To achieve this, we use the presentation for these groups previously employed by Wu and Ye to establish that each of them splits as a graph of groups. Building on techniques developed by Jankiewicz for other triangular subclasses of Artin groups, we adapt and extend these methods to show residual finiteness in this setting. Additionally, we developed a Python program to assist in specific computations for the case of \uD835\uDC342,3,8.

English

ISBN: 9798310167476Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Artin groups

The Residual Finiteness of Triangle Artin Groups /
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100 1 $a Meyer, Greyson, $e author. $3 3822969
245 1 0 $a The Residual Finiteness of Triangle Artin Groups / $c Greyson Meyer.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2025
300 $a 1 electronic resource (91 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 86-10, Section: B.
500 $a Advisors: Weissman, Martin Committee members: Jankiewicz, Kasia; Brody, Nic.
502 $b Ph.D. $c University of California, Santa Cruz $d 2025.
520 $a We prove that all triangle Artin groups of the form \uD835\uDC342,3,2\uD835\uDC5B where \uD835\uDC5B > 3 are residually finite. To achieve this, we use the presentation for these groups previously employed by Wu and Ye to establish that each of them splits as a graph of groups. Building on techniques developed by Jankiewicz for other triangular subclasses of Artin groups, we adapt and extend these methods to show residual finiteness in this setting. Additionally, we developed a Python program to assist in specific computations for the case of \uD835\uDC342,3,8.
546 $a English
590 $a School code: 0036
650 4 $a Mathematics. $3 515831
650 4 $a Applied mathematics. $3 2122814
650 4 $a Computational physics. $3 3343998
653 $a Artin groups
653 $a Bass-Serre theory
653 $a Geometric group theory
653 $a Geometry
653 $a Group theory
653 $a Residual finiteness
690 $a 0405
690 $a 0216
690 $a 0364
710 2 $a University of California, Santa Cruz. $b Mathematics. $e degree granting institution. $3 3822970
720 1 $a Weissman, Martin $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-10B.
790 $a 0036
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31840912