Group admitting a nontrivial partition

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition

A group G is said to admit a nontrivial partition if G is the set-theoretic union of proper subgroups with pairwise trivial intersections. In other words, there exists a partition of G into more than one part.


Relation with other properties