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41
How can a mathematician handle the pressure to discover something new?
mathoverflow.net

33
divisors of $p^4+1$ of the form $kp+1$
mathoverflow.net

30
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
Are infinite groups in which most elements have order $\leq 2$ commutative?
mathoverflow.net

28
Does GL_n(Z) have a noetherian group ring?
mathoverflow.net

27
Are all free groups linear, i.e., admit a faithful representation to GL(n,K) for some field K ?
mathoverflow.net

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

25
Is $GL_n(\mathbb{Q}_p)=GL_n(\mathbb{Z}_p)GL_n(\mathbb{Q})$?
mathoverflow.net

24
The number of maximal subgroups up to isomorphism
mathoverflow.net

23
Under what conditions is the exponential map on a Lie algebra injective?
math.stackexchange.com

22
A question about subsets of plane
mathoverflow.net

21
Fundamental group of a Lie group
mathoverflow.net

21
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net

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

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

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

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

18
Infinitely many finitely generated groups having the same Cayley graph
mathoverflow.net

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

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

17
Minimal number of generators for $GL(n,\mathbb{Z})$
mathoverflow.net

16
Can you decide whether the commutator subgroup of a f.p. group is f.g?
mathoverflow.net

16
An endomorphism of free groups
mathoverflow.net

15
Laws characterizing the trivial group
mathoverflow.net

15
Finitely generated soluble groups with uncountably many maximal subgroups
mathoverflow.net

15
Is it decidable to check if an element has finite order or not?
mathoverflow.net

15
“Jacobian Conjecture” for $k[x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1}]$?
mathoverflow.net

15
Profinite completion of finitely presented groups
mathoverflow.net

15
How to construct a group with specified growth function
mathoverflow.net

14
Number of squares in a finite group
mathoverflow.net

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