Category
page 1Discrete groups
space group
symmetry group of a configuration in space
lattice
subgroup of a real vector space
wallpaper group
mathematical classification of a two-dimensional repetitive pattern
discrete group
discrete subgroup of a topological group G is a subgroup H such that there is an open cover of H in which every open subset contains exactly one element of H; in other words, the subspace topology of H in G is the discrete topology
crystallographic point group
classification system for crystals
frieze group
type of symmetry group
Fuchsian group
discrete subgroup of the real projective special linear group of dimension 2
ping-pong lemma
theorem about sufficient conditions for ensuring that that several elements in a group acting on a set freely generate a free subgroup of that group
Kleinian group
discrete group of Möbius transformations