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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 '18 at 12:19
mathoverflow.net

26 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 '15 at 15:30
mathoverflow.net

24 votes

Sustainability of ZBmath unrestricted access

soft-question journals zbmath asked Sep 24 at 10:52
mathoverflow.net

19 votes

Is Thompson's group definably orderable?

gr.group-theory model-theory ordered-groups asked Mar 12 at 10:33
mathoverflow.net

16 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 '18 at 14:17
mathoverflow.net

13 votes

Linear occurrences of finite simple groups

gr.group-theory finite-groups asked Sep 8 '15 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 '14 at 18:09
mathoverflow.net

11 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 at 15:42
mathoverflow.net

8 votes

Sequences for which $\prod (1-z^n)^{a(n)}$ is a polynomial

nt.number-theory co.combinatorics sequences-and-series special-functions integer-sequences asked Aug 3 at 13:49
mathoverflow.net

8 votes

Finite groups with unbounded commutator width and no nontrivial central chief factor

gr.group-theory finite-groups asked Jan 7 at 17:49
mathoverflow.net

1 2

Top Answers
64
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

53
How can a mathematician handle the pressure to discover something new?
mathoverflow.net

34
Does GL_n(Z) have a noetherian group ring?
mathoverflow.net

34
divisors of $p^4+1$ of the form $kp+1$
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

32
Are infinite groups in which most elements have order $\leq 2$ commutative?
mathoverflow.net

30
Under what conditions is the exponential map on a Lie algebra injective?
math.stackexchange.com

30
Bourbaki's definition of the number 1
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
Does $\mathbb{Q}$ embed into a finitely generated solvable group?
mathoverflow.net

26
Is $GL_n(\mathbb{Q}_p)=GL_n(\mathbb{Z}_p)GL_n(\mathbb{Q})$?
mathoverflow.net

26
The number of maximal subgroups up to isomorphism
mathoverflow.net

25
Finitely generated group with $\aleph_0<X_G<2^{\aleph_0}$ normal subgroups?
mathoverflow.net

24
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net

23
A question about subsets of plane
mathoverflow.net

22
Fundamental group of a Lie group
mathoverflow.net

21
Must the powers of some element always grow linearly with respect to a word metric?
mathoverflow.net

21
Abelianization of general linear group of a polynomial ring
mathoverflow.net

20
Finitely generated matrix groups whose eigenvalues are all algebraic
mathoverflow.net

20
Is every finite group the outer automorphism group of a finite group?
mathoverflow.net

19
Existence of infinite groups that are too reluctant to be topological
mathoverflow.net

19
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net

19
Minimal number of generators for $GL(n,\mathbb{Z})$
mathoverflow.net

19
Is the identity function a unique multiplicative homeomorphism of $\mathbb N$?
mathoverflow.net

18
Subgroup of hyperbolic group generated by non-torsion elements
mathoverflow.net

18
Finite-dimensional faithful unitary representations of SL(2,Z)
mathoverflow.net

18
Is there a compact, connected, totally path-disconnected topological group?
mathoverflow.net

17
Suggestions for special lectures at next ICM
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17
Are unitarily equivalent permutation matrices permutation similar?
mathoverflow.net

17
Finitely generated soluble groups with uncountably many maximal subgroups
mathoverflow.net

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