scholarly journals Thick groups have trivial Floyd boundary

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

scholarly journals Free Subgroups of Groups with Nontrivial Floyd Boundary

2003 ◽  
Vol 31 (11) ◽  
pp. 5361-5376 ◽  
Author(s):  
Anders Karlsson
Keyword(s):  
Floyd Boundary ◽  
Free Subgroups

scholarly journals Growth tightness for groups with contracting elements

2014 ◽  
Vol 157 (2) ◽  
pp. 297-319 ◽  
Author(s):  
WEN-YUAN YANG
Keyword(s):  
Metric Space ◽  
Hyperbolic Group ◽  
Interesting Consequence ◽  
Geodesic Metric Space ◽  
Geodesic Metric ◽  
Relatively Hyperbolic Group ◽  
Floyd Boundary ◽  
Relatively Hyperbolic

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.

scholarly journals Martin boundary covers Floyd boundary

2021 ◽  
Vol 223 (2) ◽  
pp. 759-809
Author(s):  
Ilya Gekhtman ◽  
Victor Gerasimov ◽  
Leonid Potyagailo ◽  
Wenyuan Yang
Keyword(s):  
Martin Boundary ◽  
Floyd Boundary
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