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Results tagged with gr.group-theory
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user 80571
Questions about the branch of algebra that deals with groups.
5
votes
1
answer
145
views
Computations with conetypes of hyperbolic groups
I'd like to know if there exists (and, in this case, where I can find it) some computer program/programming language/any kind of software that can find explicitly the conetypes of a hyperbolic group o …
- 329
5
votes
1
answer
244
views
Geodesics (with the same limit point) in a surface group of genus two
Consider a discrete Gromov-hyperbolic group $\Gamma$ (and its Cayley graph
$\mathcal{G}$ w.r.t. some generating set). The notion of
Gromov-boundary, indicated with $\partial\Gamma$,
is naturally as …
- 329
2
votes
1
answer
214
views
Subsets of the boundary of a surface group
Consider the surface group $\Gamma=\langle a,b,c,d\mid [a,b][c,d]=1\rangle$: it is a Gromov hyperbolic group; its Gromov boundary $\partial\Gamma$ is homeomorphic to $S^1$ (the unit circle).
I would l …
- 329