query: Quotient group of the non-zero complex numbers
positive_passages.docid: 150854
positive_passages.text: Identifying a quotient group (NBHM-$2014$)
negative_passages.docid: 129830
negative_passages.text: A group with no proper non-trivial subgroups
negative_passages.docid: 149529
negative_passages.text: Name for complex number with nonzero imaginary component
negative_passages.docid: 99689
negative_passages.text: Zeroth homotopy group: what exactly is it?
negative_passages.docid: 89215
negative_passages.text: How to describe the quotient group $\mathbb{Z} \times \mathbb{Z} / \langle (1, 2) \rangle$
negative_passages.docid: 31263
negative_passages.text: Quotient rings of Gaussian integers
negative_passages.docid: 149030
negative_passages.text: Nonisomorphic groups of order 12.
negative_passages.docid: 122665
negative_passages.text: Help finding the fundamental group of $S^2 \cup \{xyz=0\}$
negative_passages.docid: 94018
negative_passages.text: Homology groups of $\mathbb{R}^3\setminus \ S^1$ and $\mathbb{R}^3\setminus E^1_+$
negative_passages.docid: 61526
negative_passages.text: An exercise about nilpotent quotient groups
negative_passages.docid: 11000
negative_passages.text: Fundamental group of $\mathbb{R}^2 \setminus (\mathbb{Z} \times \{0\})$
negative_passages.docid: 67919
negative_passages.text: Subgroup of the unit circle under complex multiplication
negative_passages.docid: 105322
negative_passages.text: Computing the quotient of SL(2,Z) by its commutator subgroup
negative_passages.docid: 119160
negative_passages.text: Isomorphism between complex numbers minus zero and unit circle
negative_passages.docid: 66863
negative_passages.text: How is the quotient group related to the direct product group?
negative_passages.docid: 26321
negative_passages.text: How to describe the quotient group Z x Z /
negative_passages.docid: 147968
negative_passages.text: Calculate the Factor Group $(\mathbb{Z}_4 \times \mathbb{Z}_6)/\langle(0,2)\rangle$