Group Theory (AQA A-Level Further Maths): Quizzes

Results for one group apply to isomorphic groups

One-to-one mapping preserving group structure

$f(p \bullet q) = f(p) \star f(q)$

Groups $H$ and $G$ are isomorphic

An element where $a \bullet a = e$

Identify the identity element in each group

Only ONE structural difference

Smallest positive $n$ where $a^n = e$

One group is cyclic, the other is not

Yes, identity elements must correspond