arithmetic subgroup造句
例句與造句
- The fundamental group of the fake projective plane is an arithmetic subgroup of PU ( 2, 1 ).
- In mathematics, a "'paramodular group "'is a special sort of arithmetic subgroup of the symplectic group.
- These remarks are also valid for S-arithmetic subgroups, replacing the ring of finite ad鑜es with the restricted product over all primes not in S.
- The flag variety is a quotient of a Lie group by a parabolic subgroup, and the monodromy group is an arithmetic subgroup of the Lie group.
- Prasad and Rapinchuk introduced a new notion of " weak-commensurability " of arithmetic subgroups and determined " weak-commensurability classes " of arithmetic groups in a given semi-simple group.
- It's difficult to find arithmetic subgroup in a sentence. 用arithmetic subgroup造句挺難的
- This is the product in the Hecke algebra, which is commutative even though the group is the modular group, which is non-abelian, and the subgroup is an arithmetic subgroup and in particular does not contain the commutator subgroup.
- More generally one can define what it means for a subgroup \ Gamma \ subset \ mathbf G ( \ mathbb Q ) to be a congruence subgroup without explicit reference to a fixed arithmetic subgroup, by asking that it be equal to its congruence closure \ overline \ Gamma \ cap \ mathbf G ( \ mathbb Q ).
- When G is a Lie group one can define an arithmetic lattice in G as follows : for any algebraic groups \ mathrm G defined over \ mathbb Q such that there is a morphism \ mathrm G ( \ mathbb R ) \ to G with compact kernel, the image of an arithmetic subgroup in \ mathrm G ( \ mathbb Q ) is an arithmetic lattice in G.
- Thus a better notion is to take for definition of an arithmetic subgroup of \ mathrm G ( \ mathbb Q ) any group \ Lambda which is commensurable ( this means that both \ Gamma / ( \ Gamma \ cap \ Lambda ) and \ Lambda / ( \ Gamma \ cap \ Lambda ) are finite sets ) to a group \ Gamma defined as above ( with respect to any embedding into \ mathrm { GL } _ n ).