query: Compute this factor group: $\mathbb Z_4\times\mathbb Z_6/\langle (0,2) \rangle$
positive_passages.docid: 147968
positive_passages.text: Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$
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: 129789
negative_passages.text: Find all Quotient (or Factor) Groups of $D_4$ (Dihedral Group of order $8$)
negative_passages.docid: 24203
negative_passages.text: Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
negative_passages.docid: 98284
negative_passages.text: show $\Bbb Z_6 \cong \Bbb Z_3 \times \Bbb Z_2 $.
negative_passages.docid: 132856
negative_passages.text: Find the derived subgroup of $A_4$
negative_passages.docid: 105322
negative_passages.text: Computing the quotient of SL(2,Z) by its commutator subgroup
negative_passages.docid: 85752
negative_passages.text: Show that $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ is isomorphic to $\mathbb{Z} \oplus \mathbb{Z}_4$ as $\mathbb{Z}$-modules
negative_passages.docid: 103866
negative_passages.text: decomposing a factor group into a direct sum of cyclic groups
negative_passages.docid: 130826
negative_passages.text: Computing class group of $\mathbb Q(\sqrt{6})$
negative_passages.docid: 122665
negative_passages.text: Help finding the fundamental group of $S^2 \cup \{xyz=0\}$
negative_passages.docid: 127814
negative_passages.text: Number of elements in the quotient ring $\mathbb{Z}_6 [x]/\langle 2x +4\rangle$
negative_passages.docid: 71245
negative_passages.text: $2 \times 2 $ Orthogonal Group
negative_passages.docid: 75828
negative_passages.text: Compute Galois group of $\mathbb F_q/\mathbb F_p$
negative_passages.docid: 137285
negative_passages.text: Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
negative_passages.docid: 87289
negative_passages.text: Find the multiplicative inverses of all the elements in $\Bbb Z_{16}^\times$
negative_passages.docid: 9140
negative_passages.text: Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$