ACYLINDRICAL HYPERBOLICITY FOR SOME ARTIN GROUPS (Women in Mathematics)

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Description

Artin groups, also called Artin-Tits groups, have been widely studied since their introduction by Tits in 1960s. In particular, Artin groups are important examples in geometric group theory. For various non-positively curved or negatively curved properties on discrete groups, Artin groups are interesting targets. In this talk, we treat acylindrical hyperbolicity of Artin groups. Charney and Morris-Wright showed acylindrical hyperbolicity of Artin groups of infinite type associated with graphs that are not joins, by studying clique-cube complexes and the actions on them. By developing their study and formulating some additional discussion, we demonstrate that acylindrical hyperbolicity holds for more general Artin groups. Indeed, we are able to treat Artin groups of infinite type associated with graphs that are not cones. This talk is based on a joint-work with Shin-ichi Oguni (Ehime University).

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2248 101-102, 2023-04

    京都大学数理解析研究所

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Details 詳細情報について

  • CRID
    1050579212423849088
  • NII Book ID
    AN00061013
  • HANDLE
    2433/285407
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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