Proper Subgroup
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Formal Definition
If G is a group ,all other subgroups of G are proper subgroups except G itself.
Informal Definition
If G is a group, G itself is the improper subgroup of G. All others are proper subgroups.
Example(s)
$\mathbb Q^+$ under multiplication is a proper subgroup of $\mathbb R^+$ under multiplication.
Non-example(s)
Replace this text with non-examples
Additional Comments
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