On the simple connectedness of certain subsets of buildings

Alice Devillers, B. Mühlherr

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    We prove a rank 3 criterion for the simple connectedness of certain subsets of buildings and we give two applications of this criterion. The first generalizes a result of Tits for Chevalley groups to 3-spherical Kac-Moody groups. The second is the proof of the simple connectedness of certain flipflop geometries introduced in [BGHS].
    Original languageEnglish
    Pages (from-to)955-970
    JournalForum Mathematicum
    Volume19
    Issue number6
    DOIs
    Publication statusPublished - 2007

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