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...

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

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...

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...

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

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...

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

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...

algorithms for factoring and finding discrete logarithms in quantum computing are instances of the hidden subgroup problem for finite abelian groups, while...

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