query: showing $\exp : \mathfrak{gl}(n, \mathbb{C}) \rightarrow GL(n,\mathbb{C})$ is surjective.
positive_passages.docid: 34700
positive_passages.text: Proving that the matrix exponential map is surjective onto the general linear group
negative_passages.docid: 62551
negative_passages.text: Separability by surjectivity of Frobenius Endomorphism
negative_passages.docid: 145000
negative_passages.text: Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
negative_passages.docid: 72251
negative_passages.text: $g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
negative_passages.docid: 105666
negative_passages.text: What's an easy way to show that $GL(n,\mathbb C)$ is connected?
negative_passages.docid: 121449
negative_passages.text: An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
negative_passages.docid: 59041
negative_passages.text: Centre of $GL_n(\mathbb R)$
negative_passages.docid: 18540
negative_passages.text: Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
negative_passages.docid: 123847
negative_passages.text: Cardinality of $GL_n(K)$ when $K$ is finite
negative_passages.docid: 115088
negative_passages.text: Surjective morphism of affine varieties and dimension
negative_passages.docid: 73047
negative_passages.text: Proving surjectivity of $\cos(z)$ and $\sin(z)$ and find all $z : \cos(z) \in \mathbb R$ and all $z: \sin(z) \in \mathbb R$
negative_passages.docid: 23037
negative_passages.text: Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$
negative_passages.docid: 104757
negative_passages.text: If $f \circ g$ is surjective, then f is surjective
negative_passages.docid: 70533
negative_passages.text: In what sense can the Lie algebra of $GL_n(\mathbb{C})$ be "identified" with $M_n(\mathbb C)$?
negative_passages.docid: 36137
negative_passages.text: Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
negative_passages.docid: 46748
negative_passages.text: If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
negative_passages.docid: 28934
negative_passages.text: Presentation of SL$(n,\mathbb{Z}_p)$