query: Orders of $GL_2$ and $SL_2$ over the field $\Bbb Z_p$
positive_passages.docid: 23037
positive_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: 2235
negative_passages.text: Showing $\text{Aut}_\mathsf{Grp}(\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2\mathbb{Z}) \cong S_3$
negative_passages.docid: 45302
negative_passages.text: Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
negative_passages.docid: 75553
negative_passages.text: Order of matrices in $GL_2(\mathbb{Z})$
negative_passages.docid: 147827
negative_passages.text: How to calculate $|\operatorname {SL}_2(\mathbb Z/N\mathbb Z)|$?
negative_passages.docid: 35660
negative_passages.text: Elements of order 2 in $D_{2n}$
negative_passages.docid: 46687
negative_passages.text: Elements of $GL_{2}(\mathbb{Z})$ of finite order
negative_passages.docid: 76962
negative_passages.text: Sylow $p$-subgroups of $GL_n(\mathbb{F}_p)$
negative_passages.docid: 13717
negative_passages.text: Homomorphisms from $S_4$ to $\mathbb Z_2$
negative_passages.docid: 41069
negative_passages.text: Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
negative_passages.docid: 9520
negative_passages.text: Subfields of $\Bbb Q(\zeta_8)$
negative_passages.docid: 144582
negative_passages.text: Index of a subgroup in $SL_2(\mathbb{Z})$
negative_passages.docid: 56647
negative_passages.text: Structure of $Gal(\mathbb{Q}(\zeta_{15})/\mathbb{Q})$?
negative_passages.docid: 91222
negative_passages.text: Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
negative_passages.docid: 7967
negative_passages.text: Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
negative_passages.docid: 33300
negative_passages.text: Showing order of $Z (G) =1$ or $pq$
negative_passages.docid: 118310
negative_passages.text: How to find $\operatorname{Gal}(S/\mathbb{Q})$