What is another word for Abelian Group?
Pronunciation: [ˈe͡ɪbə͡lˌi͡ən ɡɹˈuːp] (IPA) 
An Abelian group is a mathematical concept that represents a set of elements with an operation that satisfies the commutative law. Some synonyms for Abelian groups are commutative groups, additive groups, and cyclic groups. Commutative groups have operations that can be swapped without affecting the outcome, while additive groups follow the rules of addition. Cyclic groups are those that can be generated by a single element. Other related terms include finite Abelian groups, torsion-free Abelian groups, and abelianization. These terms are used to describe specific subsets of Abelian groups with special characteristics or properties. Overall, Abelian groups and their synonyms are fundamental concepts in algebraic structures and have a wide range of applications in various areas of mathematics.
