quotient groups造句

• In terms of groups, the residue class } } is the coset of in the quotient group \ mathbb { Z } / n \ mathbb { Z }, a cyclic group.
• The fundamental theorem for finite cyclic groups can be established from the same theorem for the infinite cyclic groups, by viewing each finite cyclic group as a quotient group of the infinite cyclic group.
• Furthermore, the modular group has trivial center, and thus the modular group is isomorphic to the quotient group of modulo its center,, and equivalently, to the group of inner automorphisms of.
• "( This unimportance of centre facet rotations is an implicit example of a quotient group at work, shielding the reader from the full automorphism group of the object in question . )"
• All such complex structures can be obtained as follows : take a lattice ? in "'C " "'n " considered as real vector space; then the quotient group
• The idele class group, which is the quotient group of the group of units of the adele ring by the group of units of the global field, is a central object in class field theory.
• In each case, the quotient group is itself a Coxeter group, and the Coxeter graph is obtained from the Coxeter graph of the Coxeter group by adding another vertex and one or two additional edges.
• For an arbitrary group scheme " G ", the ring of global sections also has a commutative Hopf algebra structure, and by taking its spectrum, one obtains the maximal affine quotient group.
• Here, the " & sub; " signs should really be read to mean an injective homomorphism, but since it is canonical, we can pretend these quotient groups are embedded one within the other.
• Shell Kinney followed most of the subsequent accounts, confirming early on by email that Quotient group was an alternative account of A . K . Nole, and eventually blocked many of the new accounts indefinitely.