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J. Korean Math. Soc. 2023; 60(6): 1171-1213

Online first article October 25, 2023      Printed November 1, 2023

https://doi.org/10.4134/JKMS.j220343

Copyright © The Korean Mathematical Society.

The automorphism groups of Artin groups of edge-separated CLTTF graphs

Byung Hee An, Youngjin Cho

Kyungpook National University; Kyungpook National University

Abstract

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This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected, large-type, and triangle-free. More precisely, we provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group whose defining graph has no separating vertices.

Keywords: CLTTF Artin group, automorphism group

MSC numbers: Primary 20F36, 20E36; Secondary 20F65

Supported by: The first author was supported by Kyungpook National University Research Fund, 2020.

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