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...
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points Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure Lattice (module)...
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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...
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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...
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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...
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have infinite order. The subgroups of any given group form a complete lattice under inclusion, called the lattice of subgroups. (While the infimum here...
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List of Lie groups topics (section Discrete groups)
derivative Darboux derivative Lie groupoid Lie algebroid Lattice (group) Lattice (discrete subgroup) Frieze group Wallpaper group Space group Crystallographic...
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Congruence relation Equivalence class Equivalence relation Lattice (group) Lattice (discrete subgroup) Multiplication table Prime number Up to Abelian variety...
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In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation...
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Arithmetic group (redirect from Arithmetic subgroup)
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...
22 KB (3,301 words) - 18:38, 18 September 2024