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Give an example of a group G and subgroups H and K such

Chapter 7, Problem 10E

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QUESTION:

Give an example of a group G and subgroups H and K such that \(HK = \{h \in H, k \in K\}\) is not a subgroup of G.

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QUESTION:

Give an example of a group G and subgroups H and K such that \(HK = \{h \in H, k \in K\}\) is not a subgroup of G.

ANSWER:

Step 1 of 3

For a set   to be a subgroup, the following property must be satisfied,

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