What is another word for mathematical group?
Pronunciation: [mˌaθɪmˈatɪkə͡l ɡɹˈuːp] (IPA) 
A mathematical group is a set of elements together with a binary operation that satisfies certain axioms. There are various synonyms for the term "mathematical group," reflecting different perspectives and areas of study. In abstract algebra, the term "algebraic system" or just "algebra" may be used to encompass not only groups but also other structures such as rings and fields. In topology and geometric group theory, "group of homeomorphisms" or "geometric group" may be more appropriate. In representation theory, "group representation" emphasizes the actions of groups on vectors spaces or modules. Other related concepts include Lie group, permutation group, and symmetry group.
