query: Computing some fundamental groups
positive_passages.docid: 154990
positive_passages.text: Fundamental group of two tori with a circle ($S^1✕${$x_0$}) identified
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: 26256
negative_passages.text: Characterizing Dense Subgroups of the Reals
negative_passages.docid: 55070
negative_passages.text: Fundamental group of complement of $n$ lines through the origin in $\mathbb{R}^3$
negative_passages.docid: 117178
negative_passages.text: Cyclic group generators
negative_passages.docid: 115973
negative_passages.text: Computing the number of nonisomorphic finite abelian groups of order $n$
negative_passages.docid: 112371
negative_passages.text: Computing irreducible components of algebraic set
negative_passages.docid: 31252
negative_passages.text: "Efficient version" of Cayley's Theorem in Group Theory
negative_passages.docid: 110167
negative_passages.text: A conjecture with connection to the $abc$-conjecture
negative_passages.docid: 83115
negative_passages.text: A set of elements in a reduced unity ring
negative_passages.docid: 90192
negative_passages.text: Kernel and Image of a group homomorphism
negative_passages.docid: 23941
negative_passages.text: Normal Subgroups that Intersect Trivially
negative_passages.docid: 72150
negative_passages.text: Union of the conjugates of a proper subgroup
negative_passages.docid: 9422
negative_passages.text: Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
negative_passages.docid: 75828
negative_passages.text: Compute Galois group of $\mathbb F_q/\mathbb F_p$
negative_passages.docid: 47824
negative_passages.text: Calculation of subgroups of $(Z_{12}, +)$
negative_passages.docid: 126930
negative_passages.text: Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$