ACYLINDRICAL HYPERBOLICITY FOR SOME ARTIN GROUPS (Women in Mathematics)

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説明

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).

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詳細情報 詳細情報について

  • CRID
    1050579212423849088
  • NII書誌ID
    AN00061013
  • HANDLE
    2433/285407
  • ISSN
    18802818
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB

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