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Top Questions
32
votes
Second Betti number of lattices in $\mathrm{SL}_3(\mathbf{R})$
at.algebraic-topology
gr.group-theory
gt.geometric-topology
lie-groups
group-cohomology
asked Oct 27, 2018 at 12:19
mathoverflow.net
27
votes
Group with finite outer automorphism group and large center
gr.group-theory
kt.k-theory-and-homology
geometric-group-theory
algebraic-k-theory
asked May 14, 2015 at 15:30
mathoverflow.net
27
votes
Sustainability of ZBmath unrestricted access
soft-question
journals
zbmath
asked Sep 24, 2020 at 10:52
mathoverflow.net
19
votes
Is Thompson's group definably orderable?
gr.group-theory
model-theory
ordered-groups
asked Mar 12, 2020 at 10:33
mathoverflow.net
17
votes
Finitely generated groups with Hölder-exotic space of ends?
gr.group-theory
gt.geometric-topology
mg.metric-geometry
geometric-group-theory
asked Mar 20, 2018 at 14:17
mathoverflow.net
13
votes
Linear occurrences of finite simple groups
gr.group-theory
finite-groups
asked Sep 8, 2015 at 12:28
mathoverflow.net
13
votes
Variety of nilpotent Lie algebras or $p$-groups
gr.group-theory
lie-algebras
finite-groups
p-groups
nilpotent-groups
asked Sep 21, 2014 at 18:09
mathoverflow.net
12
votes
Near permutation $n\mapsto n+1$ not conjugate to its inverse on the Stone-Čech remainder?
gr.group-theory
set-theory
gn.general-topology
boolean-algebras
stone-cech-compactification
asked Feb 18, 2020 at 15:42
mathoverflow.net
10
votes
Generalized cancelation properties ensuring a monoid embeds into a group
gr.group-theory
semigroups-and-monoids
universal-algebra
asked Dec 7, 2020 at 14:50
mathoverflow.net
10
votes
Quotients by algebraic group actions at the level of the Grothendieck ring
ag.algebraic-geometry
algebraic-groups
invariant-theory
grothendieck-rings
asked Dec 1, 2020 at 10:21
mathoverflow.net
1
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Top Answers
65
In a topological space if there exists a loop that cannot be contracted to a point does there exist a simple loop that cannot be contracted also?
mathoverflow.net
58
How can a mathematician handle the pressure to discover something new?
mathoverflow.net
39
Are infinite groups in which most elements have order $\leq 2$ commutative?
mathoverflow.net
37
divisors of $p^4+1$ of the form $kp+1$
mathoverflow.net
37
Under what conditions is the exponential map on a Lie algebra injective?
math.stackexchange.com
37
Bourbaki's definition of the number 1
mathoverflow.net
36
Does GL_n(Z) have a noetherian group ring?
mathoverflow.net
32
Does there exists a group structure on $\circ$ on $(\mathbb{R},\circ)$ such that $(\mathbb{R},\circ)$ is non-isomorphic to $(\mathbb{R},+)$?
mathoverflow.net
30
Can one deduce the fundamental theorem of algebra from real calculus and linear algebra?
mathoverflow.net
30
Is SO(4) a subgroup of SU(3)?
mathoverflow.net
28
Does $\mathbb{Q}$ embed into a finitely generated solvable group?
mathoverflow.net
27
Are all free groups linear, i.e., admit a faithful representation to GL(n,K) for some field K ?
mathoverflow.net
27
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net
26
The number of maximal subgroups up to isomorphism
mathoverflow.net
26
Is $GL_n(\mathbb{Q}_p)=GL_n(\mathbb{Z}_p)GL_n(\mathbb{Q})$?
mathoverflow.net
25
Is there a differentiable map surjective from low to high dimension?
mathoverflow.net
25
Finitely generated group with $\aleph_0<X_G<2^{\aleph_0}$ normal subgroups?
mathoverflow.net
24
Elementary proof that $\mathbb{R}^3 \setminus \{p_1,\dots,p_n\}$ is not homeomorphic to $\mathbb{R}^3$
mathoverflow.net
24
Is every finite group the outer automorphism group of a finite group?
mathoverflow.net
23
A question about subsets of plane
mathoverflow.net
23
Fundamental group of a Lie group
mathoverflow.net
23
Uncountable counterexamples in algebra
mathoverflow.net
22
Is there an eigenvalue of modulus larger than 1?
mathoverflow.net
22
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net
21
Abelianization of general linear group of a polynomial ring
mathoverflow.net
21
Must the powers of some element always grow linearly with respect to a word metric?
mathoverflow.net
20
Topological semi-direct products of groups
mathoverflow.net
20
Finitely generated matrix groups whose eigenvalues are all algebraic
mathoverflow.net
19
Is there a non-free group $G$ whose subgroups are all freely decomposable?
mathoverflow.net
19
Suggestions for special lectures at next ICM
mathoverflow.net
1
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3
4
5
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10
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