Published Papers 【 display / non-display 】

  • Semi-simple actions of the Higman-Thompson groups T<inf>n</inf> on finite-dimensional CAT(0) spaces

    Kato M.

    Geometriae Dedicata ( Geometriae Dedicata )  217 ( 5 )   2023.10 [ Peer Review Accepted ]

    Type of publication: Research paper (scientific journal)

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  • ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS

    MOTOKO KATO, SHIN-ICHI OGUNI

    Glasgow Mathematical Journal ( Cambridge University Press (CUP) )  64 ( 1 ) 51 - 64   2022.01 [ Peer Review Accepted ]

    Type of publication: Research paper (scientific journal)

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    <title>Abstract</title>It is conjectured that the central quotient of any irreducible Artin–Tits group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin–Tits groups that are known to be CAT(0) groups by a result of Brady and McCammond, that is, Artin–Tits groups associated with graphs having no 3-cycles and Artin–Tits groups of almost large type associated with graphs admitting appropriate directions. In particular, the latter family contains Artin–Tits groups of large type associated with cones over square-free bipartite graphs.

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  • On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points

    Motoko Kato

    Journal of Group Theory     2019.06 [ Peer Review Accepted ]

    Type of publication: Research paper (scientific journal)

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  • Embeddings of right-angled Artin groups into higher-dimensional Thompson groups

    Kato Motoko

    Journal of Algebra and Its Applications   17 ( 8 ) 1850159   2018 [ Peer Review Accepted ]

    Type of publication: Research paper (other science council materials etc.)

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Other Papers 【 display / non-display 】

  • Acylindrical hyperbolicity for some Artin groups (Women in Mathematics)

    Motoko Kato, Shin-ichi Oguni

    数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 2248 ) 101 - 102   2023.04

     

  • On some demonstrative embeddings into higher dimensional Thompson groups (離散群と双曲空間のトポロジーと解析)

    Kato Motoko

    数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 2062 ) 88 - 93   2018.04

     

  • HIGHER DIMENSIONAL THOMPSON GROUPS HAVE SERRE'S PROPERTY FA (Topology, Geometry and Algebra of low-dimensional manifolds : RIMS合宿型セミナー報告集)

    KATO MOTOKO

    数理解析研究所講究録 ( 京都大学数理解析研究所 )  ( 1991 ) 82 - 87   2016.04

     

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Grant-in-Aid for Scientific Research 【 display / non-display 】

  • Grant-in-Aid for Research Activity start-up

    Project Year: 2019.04  -  2023.03 

  • Grant-in-Aid for JSPS Fellows

    Project Year: 2017.04  -  2018.03 

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