1.There exists a permutation with odd order that is an odd permutation.
2. For all n ∈ Z, Sn contains an odd permutation.
3. For n ∈ Z, the subset of all odd permutations unioned together with the identity ε is a subgroup of Sₙ.
4. |Aut(R)| = ∞ where R is the real numbers under addition.
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