Let \(G\) be a finite group of even order. Show that \(G\) has an element \(a \ne e\) such that \(a^2 = e.\)
70203(Abstract Algebra 1) Basic Group Proof 3
Let \(G\) be a group and fix \(g_0 \in G\). Prove that \(f : G \longrightarrow G\) given by \(f(x) = xg_0\) is a bijection.
45678Proof that f(x) = xg_0 is a Bijection
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