In mathematics , a group is an algebraic structure consisting of a set of elements equipped with a binary operation which combines any two elements to form a third element. To be a group, this operation must satisfy four conditions called the group axioms , namely closure , associativity , identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics. Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object:
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Definition of group: A collection of individuals who have regular contact and frequent interaction, mutual influence, common feeling of camaraderie, and who . Just how we define 'group' and the characteristics or ideas we use has been a matter of debate for many years. The significance of collectivities like families.
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Air Force higher than a squadron and lower than a wing. These example sentences are selected automatically from various online news sources to reflect current usage of the word 'group.
Dictionary Term of the Day Articles Subjects. You're not signed up. A collection of individuals who have regular contact and frequent interaction, mutual influence , common feeling of camaraderie , and who work together to achieve a common set of goals. A subdivision of a set. When you are working in a group it is best to make sure that everyones voice and opinion is heard by all.