query: Discrete subgroup of hyperbolic isometries acts properly discontinuously on the hyperbolic space
positive_passages.docid: 63098
positive_passages.text: Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
negative_passages.docid: 7069
negative_passages.text: On the product of $\mathfrak c$-many separable spaces
negative_passages.docid: 93471
negative_passages.text: Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
negative_passages.docid: 144788
negative_passages.text: Cosets of a subgroup do not overlap
negative_passages.docid: 27507
negative_passages.text: Subgroups of Symmetric groups isomorphic to dihedral group
negative_passages.docid: 144988
negative_passages.text: Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
negative_passages.docid: 23279
negative_passages.text: Group Theory Isomorphism
negative_passages.docid: 140379
negative_passages.text: Cauchy sequence in a discrete space
negative_passages.docid: 85299
negative_passages.text: computing the orbits for a group action
negative_passages.docid: 82843
negative_passages.text: Subgroups of $\Bbb{R}^n$ that are closed and discrete
negative_passages.docid: 133179
negative_passages.text: Fixed points under action of conjugate group elements
negative_passages.docid: 158127
negative_passages.text: Quotient space of $\Bbb C^n$ obtained by action of $S_n$
negative_passages.docid: 152589
negative_passages.text: How to show that if $G$ is union of three proper subgroups, then there is an epimorphism from $G$ to the Klein 4-group?
negative_passages.docid: 82458
negative_passages.text: Homeomorphism between the unit disc and the unit square
negative_passages.docid: 70785
negative_passages.text: A finite Hausdorff space is discrete
negative_passages.docid: 70904
negative_passages.text: Subgroups of $U(n)$ isomorphic to a direct sum of cyclic groups
negative_passages.docid: 27652
negative_passages.text: metric on the Euclidean Group