Groups acting on CAT(0) cube complexes with uniform exponential growth
نویسندگان
چکیده
We study uniform exponential growth of groups acting on CAT(0) cube complexes. show that without global fixed points square complexes either have or stabilize a Euclidean subcomplex. This generalizes the work Kar and Sageev considers free actions. Our result lets us for certain act improperly complexes, namely, finitely generated subgroups Higman group triangle-free Artin groups. also obtain non-virtually abelian freely any dimension with isolated flats admit geometric action growth.
منابع مشابه
Groups acting on CAT(0) cube complexes
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2023
ISSN: ['1472-2739', '1472-2747']
DOI: https://doi.org/10.2140/agt.2023.23.13