query: Injective Lie Group Homomorphism is Immersion?
positive_passages.docid: 18893
positive_passages.text: $\varphi:G\to H$ is a Lie Group Homomorphism, then $\ker \varphi$ has Lie algebra $\ker D_e \varphi$
negative_passages.docid: 6466
negative_passages.text: Image of subgroup and Kernel of homomorphism form subgroups
negative_passages.docid: 53531
negative_passages.text: Birational and faithfully flat $\implies$ isomorphism
negative_passages.docid: 24828
negative_passages.text: surjective immersion $\mathbb{R}^2 \to \mathbb{R}^2$ which is not a diffeomorphism
negative_passages.docid: 39866
negative_passages.text: Automorphism group of the quaternion group
negative_passages.docid: 35248
negative_passages.text: Getting started with Lie Groups
negative_passages.docid: 86993
negative_passages.text: Differentiable injective function betweem manifolds
negative_passages.docid: 126644
negative_passages.text: Simple module and homomorphisms
negative_passages.docid: 44258
negative_passages.text: Conditions under which group solvability is invariant under an homomorphism.
negative_passages.docid: 27728
negative_passages.text: Question on a homomorphism of a set G.
negative_passages.docid: 90192
negative_passages.text: Kernel and Image of a group homomorphism
negative_passages.docid: 94165
negative_passages.text: Why is a map to a smaller dimensional space not injective?
negative_passages.docid: 9565
negative_passages.text: Is there an easy way to show which spheres can be Lie groups?
negative_passages.docid: 116750
negative_passages.text: On surjectivity of exponential map for Lie groups
negative_passages.docid: 89805
negative_passages.text: 2-dimensional Lie subgroups of $SO(3)$
negative_passages.docid: 27670
negative_passages.text: Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
negative_passages.docid: 96567
negative_passages.text: Immersion of $\mathbb{R}$ to $\mathbb{R}^2$