elementary abelian group造句

• In particular, a finite solvable group is characteristically simple if and only if it is an elementary abelian group.
• The large central extensions of elementary abelian groups called extraspecial groups help describe the structure of groups as acting on symplectic vector spaces.
• The Schur multiplier of the elementary abelian group of order 16 is an elementary abelian group of order 64, showing that the multiplier can be strictly larger than the group itself.
• The Schur multiplier of the elementary abelian group of order 16 is an elementary abelian group of order 64, showing that the multiplier can be strictly larger than the group itself.
• It has a normal subgroup that is an elementary abelian group of order 3 2, and the quotient by this subgroup is isomorphic to the group SL 2 ( 3 ) of order 24.
• For example, the " p "-torsion of an elliptic curve in characteristic zero is locally isomorphic to the constant elementary abelian group scheme of order " p " 2, but over "'F "'p, it is a finite flat group scheme of order " p " 2 that has either " p " connected components ( if the curve is ordinary ) or one connected component ( if the curve is supersingular ).