Structural Property

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Formal Definition


A structural property of a group is one that must be shared by any isomorphic group.

Informal Definition


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Example(s)


1. The group is cyclic.
2. The group is abelian.
3. The group has order 8.
4. The group is finite.

Non-example(s)


1. The group contains the element 5.
2. All elements of the group are numbers.
3. The group operation is denoted by juxtaposition.

Additional Comments


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