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Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations

0 votes
0 answers
156 views

Codimension-1 subgroups and submanifolds

Let $G$ be a finitely generated group and let $H$ be a subgroup of $G$. $H$ is a codimension-1 subgroup of $G$ if $C_{G}/H$ has more than one end, where $C_{G}$ is the Cayley graph of $G$. Let $ …
Anton's user avatar
  • 81
3 votes
1 answer
250 views

Group acting on a CAT(0) cube complex then acting also on a tree

If a group $G$ acts on a CAT(0) cube complex, then does $G$ act on a simplicial tree?
Anton's user avatar
  • 81
1 vote
1 answer
307 views

Group action on quasi-isometric geodesic metric space [closed]

If a group $G$ acts on a geodesic metric space $X$, then does $G$ act on a geodesic metric space $Y$ which is quasi-isometric to $X$?
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