query: Let $G = GL_2\mathbb (R)$. Show that $T$ is a subgroup of $G$
positive_passages.docid: 21495
positive_passages.text: Upper Triangular Matrices
negative_passages.docid: 102284
negative_passages.text: $GL(n,\mathbb R)/SL(n,\mathbb R)$ is isomophic to $\mathbb R^\times$
negative_passages.docid: 75568
negative_passages.text: Subgroup of index $2$ is Normal
negative_passages.docid: 143314
negative_passages.text: Sylow subgroup of $S_{p^2}$
negative_passages.docid: 46863
negative_passages.text: Show that $g$ is injective
negative_passages.docid: 56245
negative_passages.text: Let H be a subgroup of a group G. Prove that the following statements are equivalent.
negative_passages.docid: 150042
negative_passages.text: Prove $x^{-1}Hx$ is a subgroup of $G$
negative_passages.docid: 5069
negative_passages.text: $GL_n(\mathbb F_q)$ has an element of order $q^n-1$
negative_passages.docid: 92033
negative_passages.text: Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
negative_passages.docid: 106277
negative_passages.text: Prove that $G$ contains a subgroup $H_i$ for each $i\in\Bbb Z$ with $\dots\subset H_{−2}\subset H_{−1}\subset H_0\subset H_1\subset\dots?$
negative_passages.docid: 11957
negative_passages.text: G is the product of its Sylow subgroups
negative_passages.docid: 151559
negative_passages.text: Please help: How to show that Aut(G) is a subgroup of Sym(G)
negative_passages.docid: 27056
negative_passages.text: $ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
negative_passages.docid: 42389
negative_passages.text: If $(G, \oplus)$ has order $2n$, prove that every proper subgroup of $(G, \oplus)$
negative_passages.docid: 74218
negative_passages.text: Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$
negative_passages.docid: 91085
negative_passages.text: how to find $|GL_2(F_p)|$
negative_passages.docid: 103216
negative_passages.text: The set $\{g^2 | g \in G\}$ in a group $G$