Improper Subgroup

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Formal Definition


If G is a group, then the subgroup consisting of G itself is the improper subgroup of G. All other subgroups are proper subgroups.The subgroup $/{e/}$ is the trivial subgroup of G. All other subgroups are nontrivial.

Informal Definition


An improper subgroup is the subgroup that is the group.

Example(s)


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Non-example(s)


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Additional Comments


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