finite abelian group造句
例句与造句
- Clearly, every finite abelian group is finitely generated.
- This gave a finite abelian group, as was recognised at the time.
- In general, a finite abelian group " G " is considered.
- The automorphism group of a finite abelian group can be described directly in terms of these invariants.
- The families of finite Abelian groups and finite nilpotent groups are almost full, but neither full nor Melnikov.
- It's difficult to find finite abelian group in a sentence. 用finite abelian group造句挺难的
- It follows that any finite abelian group " G " is isomorphic to a direct sum of the form
- If G is a finite abelian group, then G \ cong \ widehat { G } but this isomorphism is not canonical.
- The fundamental theorem of finite abelian groups states that every finite abelian group can be expressed as the direct sum of cyclic subgroups of prime-power order.
- The fundamental theorem of finite abelian groups states that every finite abelian group can be expressed as the direct sum of cyclic subgroups of prime-power order.
- When " G " is a finite abelian group, the group ring is commutative, and its structure is easy to express in terms of roots of unity.
- The fundamental theorem of finitely generated abelian groups states that a finitely generated abelian group is the rank and a finite abelian group, each of which are unique up to isomorphism.
- reduced the principal ideal theorem to a question about finite abelian groups : he showed that it would follow if the transfer from a finite group to its derived subgroup is trivial.
- An arbitrary finite abelian group is isomorphic to a direct sum of finite cyclic groups of prime power order, and these orders are uniquely determined, forming a complete system of invariants.
- Clearly Carmichael's theorem is related to Euler's theorem, because the exponent of a finite abelian group must divide the order of the group, by elementary group theory.
- Direct sums play an important role in the classification of abelian groups : according to the fundamental theorem of finite abelian groups, every finite abelian group can be expressed as the direct sum of cyclic groups.
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