 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ia/paper-3/8d/b/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

There are twelve edges and the action on them is transitive, so an edge stabilizer has order

\frac{48}{12} = 4.

For an edge parallel to the

z

-axis with midpoint

(1, 1, 0)

, its stabilizer is generated by interchanging

x

and

y

and by replacing

z

- z

G_{e} ≅ C_{2} \times C_{2} .

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