例句與造句

1. For an example, the lattice of subgroups of the dihedral group of order 8 is not modular.
2. Every quasinormal subgroup is a modular subgroup, that is, a modular element in the lattice of subgroups.
3. The lattice of subgroups of a group satisfies the ascending chain condition if and only if all subgroups of the group are finitely generated.
4. The groups whose lattice of subgroups is a complemented lattice are called complemented groups, and the groups whose lattice of subgroups are modular lattices are called Iwasawa groups or modular groups.
5. The groups whose lattice of subgroups is a complemented lattice are called complemented groups, and the groups whose lattice of subgroups are modular lattices are called Iwasawa groups or modular groups.
6. It's difficult to find lattice of subgroups in a sentence. 用lattice of subgroups造句挺難的
7. In general, there is no restriction on the shape of the lattice of subgroups, in the sense that every lattice is isomorphic to a sublattice of the subgroup lattice of some group.
8. When this group has order 16, Dummit and Foote refer to this group as the modular group of order 16, as its lattice of subgroups is modular, so in this article this group will be called the modular maximal-cyclic group.
9. In mathematics, the "'butterfly lemma "'or "'Zassenhaus lemma "', named after Hans Zassenhaus, is a technical result on the lattice of subgroups of a group or the lattice of submodules of a module, or more generally for any modular lattice.
10. More generally, there is a monotone Galois connection ( f ^ *, f _ * ) between the lattice of subgroups of G ( not necessarily containing N ) and the lattice of subgroups of G / N : the lower adjoint of a subgroup H of G is given by f ^ * ( H ) = HN / N and the upper adjoint of a subgroup K / N of G / N is a given by f _ * ( K / N ) = K.
11. More generally, there is a monotone Galois connection ( f ^ *, f _ * ) between the lattice of subgroups of G ( not necessarily containing N ) and the lattice of subgroups of G / N : the lower adjoint of a subgroup H of G is given by f ^ * ( H ) = HN / N and the upper adjoint of a subgroup K / N of G / N is a given by f _ * ( K / N ) = K.