The automorphism group of the universal Coxeter group
نویسندگان
چکیده
We study fixed point properties of the automorphism group universal Coxeter Aut(Wn). In particular, we prove that whenever Aut(Wn) acts by isometries on complete d-dimensional CAT(0) space with d<⌊n2⌋, then it must fix a point. also does not have Kazhdan’s property (T). Further, strong restrictions are obtained homomorphisms to groups do contain copy Sym(n).
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2021
ISSN: ['1878-0792', '0723-0869']
DOI: https://doi.org/10.1016/j.exmath.2019.09.002