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10 questions from this quiz
Results for one group apply to isomorphic groups
One-to-one mapping preserving group structure
f(p∙q)=f(p)⋆f(q)f(p \bullet q) = f(p) \star f(q)f(p∙q)=f(p)⋆f(q)
Groups HHH and GGG are isomorphic
An element where a∙a=ea \bullet a = ea∙a=e
Identify the identity element in each group
Only ONE structural difference
Smallest positive nnn where an=ea^n = ean=e
One group is cyclic, the other is not
Yes, identity elements must correspond
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