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A note on locally elliptic actions on cube complexes

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 نشر من قبل Olga Varghese
 تاريخ النشر 2018
  مجال البحث
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We deduce from Sageevs results that whenever a group acts locally elliptically on a finite dimensional CAT(0) cube complex, then it must fix a point. As an application, we give an example of a group G such that G does not have property (T), but G and all its finitely generated subgroups can not act without a fixed point on a finite dimensional CAT(0) cube complex, answering a question by Barnhill and Chatterji.



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