Divisible group
Abelian group in which every element can, in some sense, be divided by positive integers / From Wikipedia, the free encyclopedia
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In mathematics, specifically in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive integer n. Divisible groups are important in understanding the structure of abelian groups, especially because they are the injective abelian groups.