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10 cards from this deck
Groups with same structure via one-to-one mapping
H≅GH \cong GH≅G
f(p∙q)=f(p)⋆f(q)f(p \bullet q) = f(p) \star f(q)f(p∙q)=f(p)⋆f(q)
Element aaa where a∙a=ea \bullet a = ea∙a=e (identity)
Must correspond to each other
Only ONE structural difference
Different numbers of self-inverse elements
Smallest nnn where an=ea^n = ean=e
Different periods of elements in each group
Group generated by a single element
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