query: fundamental group of $\mathbb{C^*}/\{e,a\}$
positive_passages.docid: 24039
positive_passages.text: Fundamental Group of Punctured Plane
negative_passages.docid: 26256
negative_passages.text: Characterizing Dense Subgroups of the Reals
negative_passages.docid: 145000
negative_passages.text: Fundamental group of GL(n,C) is isomorphic to Z. How to learn to prove facts like this?
negative_passages.docid: 33196
negative_passages.text: show that A(T) is a group under operation of composition of functions
negative_passages.docid: 130081
negative_passages.text: Show that $A_n$ is the kernel of a group homomorphism of $S_n \rightarrow \{−1,1\}$.
negative_passages.docid: 116759
negative_passages.text: is the group of rational numbers the fundamental group of some space?
negative_passages.docid: 66806
negative_passages.text: A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
negative_passages.docid: 58484
negative_passages.text: Is the topological product $\Pi \{G_\alpha: \alpha < \kappa\} $ a topological group?
negative_passages.docid: 116125
negative_passages.text: A group $G$ with $G'$ abelian and every abelian normal subgroup finite
negative_passages.docid: 138383
negative_passages.text: group of units in a topological ring
negative_passages.docid: 121034
negative_passages.text: Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
negative_passages.docid: 127198
negative_passages.text: What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
negative_passages.docid: 121257
negative_passages.text: Image of Homomorphism of Lie groups
negative_passages.docid: 84869
negative_passages.text: Are the groups $\mathbb{C}$ and $\mathbb{R}$ isomorphic?
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: 52642
negative_passages.text: Show that $\text{C}/c \cong (c/(\text{C}^{\text{op}}))^{\text{op}}$
negative_passages.docid: 146952
negative_passages.text: When can I say that $\cup H_i$ is a group?