floyd boundary
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2021 ◽  
Vol 223 (2) ◽  
pp. 759-809
Author(s):  
Ilya Gekhtman ◽  
Victor Gerasimov ◽  
Leonid Potyagailo ◽  
Wenyuan Yang


2019 ◽  
Vol 148 (2) ◽  
pp. 513-521
Author(s):  
Ivan Levcovitz
Keyword(s):  


2014 ◽  
Vol 157 (2) ◽  
pp. 297-319 ◽  
Author(s):  
WEN-YUAN YANG

AbstractWe establish growth tightness for a class of groups acting geometrically on a geodesic metric space and containing a contracting element. As a consequence, any group with non-trivial Floyd boundary are proven to be growth tight with respect to word metrics. In particular, all non-elementary relatively hyperbolic group are growth tight. This generalizes previous works of Arzhantseva-Lysenok and Sambusetti. Another interesting consequence is that CAT(0) groups with rank-1 elements are growth tight with respect to CAT(0)-metric.



2003 ◽  
Vol 31 (11) ◽  
pp. 5361-5376 ◽  
Author(s):  
Anders Karlsson


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