arithmetic latticeの例文

例文

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1. S-arithmetic lattice ( where S stands for the set of primes inverted ).
2. Generalising the construction above one gets the notion of an " arithmetic lattice " in a semisimple Lie group.
3. All arithmetic lattices in \ mathrm { SL } _ 2 ( \ mathbb R ) are obtained in this way ( up to commensurability ).
4. Instead of taking intergal points in the definition of an arithmetic lattice one can take points which are only integral away from a finite number of primes.
5. The conjecture ( usually attributed to Jean-Pierre Serre is that this is true for ( irreducible ) arithmetic lattices in higher-rank groups and false in rank-one groups.