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Top Questions
19
votes
Are braid groups known to not be linear over $\mathbb{Z}$?
gr.group-theory
geometric-group-theory
braid-groups
asked Feb 5, 2022 at 12:21
mathoverflow.net
18
votes
Is Thompson's group $T$ co-Hopfian?
gr.group-theory
geometric-group-theory
combinatorial-group-theory
asked Oct 8, 2020 at 13:22
mathoverflow.net
17
votes
Is there a simple group that is torsion-free, type $\textrm{F}_\infty$, and infinite dimensional?
gr.group-theory
geometric-group-theory
asked Nov 15, 2020 at 17:34
mathoverflow.net
17
votes
Dehn functions of finitely presented simple groups
gr.group-theory
geometric-group-theory
asked May 5 at 0:11
mathoverflow.net
16
votes
Group with non-trivial center containing trivially-intersecting copies of itself
gr.group-theory
geometric-group-theory
asked Mar 3, 2021 at 15:11
mathoverflow.net
15
votes
Finitely presented group containing every $\mathrm{GL}_n(\mathbb{Z})$
gr.group-theory
geometric-group-theory
asked Oct 11, 2021 at 16:44
mathoverflow.net
13
votes
Decidability of word problem for group admitting certain action
gr.group-theory
geometric-group-theory
asked Jul 10, 2021 at 12:14
mathoverflow.net
10
votes
Iterated algebraic fibering
gr.group-theory
geometric-group-theory
asked Oct 2, 2022 at 12:08
mathoverflow.net
8
votes
Amenable automatic groups
gr.group-theory
geometric-group-theory
amenability
asked May 24, 2021 at 11:16
mathoverflow.net
7
votes
Contractible subcomplex containing 1-skeleton?
gt.geometric-topology
simplicial-complexes
cw-complexes
asked Jul 6, 2022 at 15:43
mathoverflow.net
Top Answers
47
Golden ratio in contemporary mathematics
mathoverflow.net
26
Why are Thompson's groups called $F$, $T$ and $V$?
mathoverflow.net
13
Does this group construction preserve finite presentability?
mathoverflow.net
13
Proving that a countable group is not finitely generated
mathoverflow.net
11
What are the cohomological dimensions of ${\rm Aut}(F_n)$, ${\rm Out}(F_n)$, ${\rm SL}_n(\mathbb{Z})$ over the rationals ℚ and integers ℤ?
mathoverflow.net
10
Is Thompson's group $T$ co-Hopfian?
mathoverflow.net
10
When is a extension of $\mathbb{Z}$ by a free group a CAT(0) group?
mathoverflow.net
8
Contractible Rips complex from non-hyperbolic group
mathoverflow.net
8
Right-angled Artin groups that split as direct products
mathoverflow.net
7
A finitely presented group whose rational cohomology is not nilpotent
mathoverflow.net
7
Howson property of automorphism group of $F_2$ and of $F_3$
mathoverflow.net
6
Roots in Thompson's groups
mathoverflow.net
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