abelian group in a sentence

Examples

1. However, associativity and being an abelian group are universal properties.
2. This gives a contravariant functor from manifolds to abelian groups.
3. Finitely generated abelian groups are completely classified and are particularly easy to work with.
4. This follows from the classification of finitely generated abelian groups.
5. The restrictions that define an abelian group may be removed in different orders also.
6. It can readily be generalized to an arbitrary non-Abelian group.
7. These groups are our first examples of infinite non-abelian groups.
8. One starts with the notion of an abelian group.
9. and takes chain maps to maps of abelian groups.
10. Let G be a locally compact, abelian group.