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A Group is a number of people or things that are located, gathered, or classed together. Contents. 1 Groups of people; 2 Groups of animals; 3 Science and.
Description:In other words, there is only one inverse element of a. Similarly, to prove that the identity element of a group is unique, assume G is a group with two identity elements e and f. Division[ edit ] In groups, the existence of inverse elements implies that division is possible: In this case, the group operation is often denoted as an addition , and one talks of subtraction and difference instead of division and quotient.