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| Math Central | Quandaries & Queries |
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Question from moulipriya, a student: If G be a commutative group, and H be a proper subgroup of G. |
Moulipriya,
Suppose that H is a subgroup of G. Let * be the group operation on G and 
be the group operation on H. Let a and b be elements of H. Since H is a subgroup of G you know that
- a * b = a b
- b * a = b a
- a b
H - b a H
If G is commutative is H commutative also?
Penny
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