Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has...

a discrete subgroup of PSL(2,R). The modular group is a lattice in PSL(2,R), but it is not cocompact. Kleinian groups are, by definition, discrete subgroups...

points Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure Lattice (module)...

some maximum distance of a lattice point. Closure under addition and subtraction means that a lattice must be a subgroup of the additive group of the...

but the rational numbers, Q, do not. A lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space...

have infinite order. The subgroups of any given group form a complete lattice under inclusion, called the lattice of subgroups. (While the infimum here...

Congruence relation Equivalence class Equivalence relation Lattice (group) Lattice (discrete subgroup) Multiplication table Prime number Up to Abelian variety...

derivative Darboux derivative Lie groupoid Lie algebroid Lattice (group) Lattice (discrete subgroup) Frieze group Wallpaper group Space group Crystallographic...

In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...

arithmetic lattice in S L n ( R ) {\displaystyle \mathrm {SL} _{n}(\mathbb {R} )} . A lattice in a Lie group is usually defined as a discrete subgroup with...