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Results tagged with gr.group-theory
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user 16804
Questions about the branch of algebra that deals with groups.
3
votes
0
answers
254
views
The center of a derived subgroup in an amenable group
Let $G$ be a finitely generated amenable group and $G^{(i)}$ be a derived subgroup of $G$.
What can we say about the center of $G^{(i)}$? Can we say the center of $G^{(i)}$ is non-trivial for $i$ la …
10
votes
1
answer
397
views
Locally Indicable Hyperbolic Groups
It is unknown whether a hyperbolic group is residually finite. Is it known under the additional hypothesis of locally indicability? Namely: Is a locally indicable hyperbolic group, residually finite?
1
vote
1
answer
321
views
Orbits of Thompson's group
Thompson's group may act by homeomorphisms on the circle.
Has this action a fixed point?