KnowraAbelian groupLinked fromLinked fromThe 16 pages that link to Abelian group, each with the reason it gives.All 16Broader topic 4Related 4Narrower topic 6Compared with 2Ring (mathematics)Narrower topic: Ring addition must make the elements into an Abelian group.Homology groupNarrower topic: Homology groups are abelian, so their elements can be added without regard to order.LatticeNarrower topic: Under addition, a lattice is a free Abelian group generated by its basis vectors.Chain complexNarrower topic: Chain groups are abelian groups, making sums of chains and their boundaries well-defined.Finite cyclic groupNarrower topic: Every cyclic group is abelian, but many finite abelian groups need multiple generators.Pontryagin dualityNarrower topic: Commutativity is essential to the character-based duality in this form.