query: $\pi_2(G)$ for $G$ a Lie group.
positive_passages.docid: 18687
positive_passages.text: First and second homotopy groups of a connected Lie group
negative_passages.docid: 138297
negative_passages.text: Let $G = GL_2\mathbb (R)$. Show that $T$ is a subgroup of $G$
negative_passages.docid: 90811
negative_passages.text: If $[G' : G'']\leq p^2$, then $G'$ is abelian.
negative_passages.docid: 122698
negative_passages.text: Construction of multiplicative group of complex numbers
negative_passages.docid: 43004
negative_passages.text: Why are there $|G/G'|$ 1-dimensional representations of $G$?
negative_passages.docid: 43303
negative_passages.text: Which Lie groups have Lie algebras admitting an Ad-invariant inner product?
negative_passages.docid: 11000
negative_passages.text: Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
negative_passages.docid: 23535
negative_passages.text: Describing the Lie algebra structure of a semi-direct product of Lie groups
negative_passages.docid: 18182
negative_passages.text: An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
negative_passages.docid: 58484
negative_passages.text: Is the topological product $\Pi \{G_\alpha: \alpha < \kappa\} $ a topological group?
negative_passages.docid: 29269
negative_passages.text: fundamental group of $GL^{+}_n(\mathbb{R})$
negative_passages.docid: 30794
negative_passages.text: Commutator Group of $GL_2(R)$ is $SL_2(R)$
negative_passages.docid: 108830
negative_passages.text: Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
negative_passages.docid: 25832
negative_passages.text: Let $K$ be a normal subgroup of order 2 in group $G$, show that $K$ lies in the centre of $G$
negative_passages.docid: 115414
negative_passages.text: Lie Algebra of $SL_n(\mathbb H)$
negative_passages.docid: 147148
negative_passages.text: why is $S^2$ not a Lie group?
negative_passages.docid: 11015
negative_passages.text: Given a group $ G $, how many topological/Lie group structures does $ G $ have?