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Divisible group
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{{Short description|Abelian group in which every element can, in some sense, be divided by positive integers}} 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 ''n''th multiple for each positive integer ''n''. Divisible groups are important in understanding the structure of abelian groups, especially because they are the [[injective module|injective]] abelian groups.
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