 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ia/paper-3/6d/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

The sign map has abelian quotient, so

S_{5}^{'} \leq A_{5}

. On the other hand

A_{5}^{'} = A_{5}

and

A_{5} \leq S_{5}

imply

A_{5} \leq S_{5}^{'}

. Hence

S_{5}^{'} = A_{5} .

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