Periodic divisible abelian group: Difference between revisions

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A [[group]] is termed a '''periodic divisible abelian group''' if it is both a [[periodic group]] and a [[divisible abelian group]].
A [[group]] is termed a '''periodic divisible abelian group''' if it is both a [[periodic group]] and a [[divisible abelian group]].
The standard example is the [[group of rational numbers modulo integers]].

Latest revision as of 23:09, 9 June 2012

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

A group is termed a periodic divisible abelian group if it is both a periodic group and a divisible abelian group.

The standard example is the group of rational numbers modulo integers.