user avatar
user avatar
user avatar
YCor
  • Member for 10 years, 1 month
  • Last seen this week
37 votes
Accepted

Under what conditions is the exponential map on a Lie algebra injective?

15 votes

Does every group of order $n!$ have a subgroup of order $n$?

12 votes

Alternative proofs that $A_5$ is simple

12 votes
Accepted

Is there a topological group that is connected but not path-connected?

11 votes
Accepted

Let $H$ be a group, if its abelianization is $\mathbb{Z}_2$ does this mean that $H$ has torsion?

11 votes

Burnside group $B(2, 3)$, how to see has $27$ elements and isomorphic to certain group?

10 votes
Accepted

Do you know this finitely presented group on two generators?

10 votes
Accepted

Is every finite group of isometries a subgroup of a finite reflection group?

9 votes
Accepted

Second derived subgroup of Baumslag Solitar group BS(2,3)

9 votes

Show that the free group on three generators is a subgroup of the free group on two generators

9 votes

What is the center of a semidirect product?

9 votes

Riemannian metrics on homogeneous spaces

8 votes

Can the group $\mathbb Z \times \mathbb Z$ be written as union of finitely many proper subgroups of it?

8 votes

Group element not taken to its inverse by any automorphism

8 votes
Accepted

Unipotent action of pro-$p$-group

7 votes

Are lower central factors of torsion-free nilpotent groups torsion-free?

7 votes
Accepted

What is a local group isomorphism?

6 votes

Is there a natural family of nonisomorphic groups parametrized by $\mathbb{R}$?

6 votes
Accepted

Is there a criterion for which $BS(m,n)$ are solvable (and non-solvable)? If not, are there classes of such groups where this is known?

6 votes
Accepted

Embedding $(\mathbb{R},+)$ into $(\text{Sym}(\omega),\circ)$

6 votes

What do the solvable groups in a free product of cyclic groups look like?

6 votes
Accepted

Is there a group with $2$ generators having exactly $17$ subgroups of index three?

6 votes
Accepted

Is there any relationship between growth rate and amenability?

6 votes

What is the classifying space, $K(G,1)$ for $\mathbb Z[1/2]$?

6 votes

Normal subgroups of infinite symmetric group

6 votes
Accepted

Does torus admit symplectic structure?

6 votes
Accepted

Homomorphic images of $p$-adic integers

6 votes
Accepted

The number of elements not in conjugate of a subgroup

6 votes
Accepted

Infinite group with finitely many conjugacy classes of cardinality $n$.

6 votes

Is $SL_2(\mathbb Z)$ a maximal discrete subgroup in $SL_2(\mathbb R)$?

1
2 3 4 5
17