A connected Lie group for which the exp map is not surjective
116750
On surjectivity of exponential map for Lie groups
12104
How to prove this result involving the quotient maps and connectedness?
92493
If $G$ is non-abelian, then $Inn(G)$ is not a normal subgroup of the group of all bijective mappings $G \to G$
114569
How do you find the Lie algebra of a Lie group (in practice)?
155266
Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
55493
Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup
8066
Sort-of-simple non-Hopfian groups
95686
$Lie(G \times H)\cong Lie(G)\oplus Lie(H)$
18893
$\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
24828
surjective immersion $\mathbb{R}^2 \to \mathbb{R}^2$ which is not a diffeomorphism
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
77722
Lie algebra of affine linear maps
108816
$L^p$ integrable but not $L^q$ integrable
129830
A group with no proper non-trivial subgroups
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
99465
Is every Lie subgroup of $SU(2)$ closed?