abelian in a sentence

Examples

1. The classical groups are important examples of non-abelian topological groups.
2. This includes kernels for homomorphisms between abelian groups as a special case.
3. In particular, it is a normal, abelian subgroup.
4. Chain complexes are easily defined in abelian categories, also.
5. These groups are our first examples of infinite non-abelian groups.
6. Non simply-connected examples are given by abelian surfaces.
7. Rank of an abelian group is analogous to the order is finite.
8. Abelian groups of rank greater than 1 are sources of interesting examples.
9. An elliptic curve is an abelian variety of dimension 1.
10. Any abelian variety is isogenous to a product of simple abelian varieties.