This is Daily Work 14.

Current Students: Enter your BSU email address to receive a copy of your responses.
Let \(\phi \colon G \to H \) be an isomorphism between the groups \(G\) and \(H\).

Which of the following is not necessarily true?
Which of the following observations would guarantee that \(G\) is not isomorphic to \(H\) ?
If \(a \in G\) is not the identity element, and \(H\) is a subgroup of \(G\), which of the following sets is guaranteed to also be a subgroup of \(G\)?

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