Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

THE AUTOMORPHISM GROUPS OF ARTIN GROUPS OF EDGE-SEPARATED CLTTF GRAPHS

  • Byung Hee An (Department of Mathematics Education Kyungpook National University) ;
  • Youngjin Cho (Department of Mathematics Education Kyungpook National University)
  • Received : 2022.07.08
  • Accepted : 2023.08.18
  • Published : 2023.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

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

References

  1. N. Brady, J. P. McCammond, B. Muhlherr, and W. D. Neumann, Rigidity of Coxeter groups and Artin groups, Geom. Dedicata 94 (2002), 91-109. https://doi.org/10.1023/A:1020948811381
  2. J. Crisp, Automorphisms and abstract commensurators of 2-dimensional Artin groups, Geom. Topol. 9 (2005), 1381-1441. https://doi.org/10.2140/gt.2005.9.1381
  3. M. B. Day, Peak reduction and finite presentations for automorphism groups of right-angled Artin groups, Geom. Topol. 13 (2009), no. 2, 817-855. https://doi.org/10.2140/gt.2009.13.817
  4. M. B. Day, Full-featured peak reduction in right-angled Artin groups, Algebr. Geom. Topol. 14 (2014), no. 3, 1677-1743. https://doi.org/10.2140/agt.2014.14.1677
  5. C. Droms, Isomorphisms of graph groups, Proc. Amer. Math. Soc. 100 (1987), no. 3, 407-408. https://doi.org/10.2307/2046419
  6. E. Godelle, Parabolic subgroups of Artin groups of type FC, Pacific J. Math. 208 (2003), no. 2, 243-254. https://doi.org/10.2140/pjm.2003.208.243