 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-3/6d/i/solution

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

G L_{2} (C)

consists of invertible

2 \times 2

complex matrices and

S L_{2} (C) = ker det

. It is normal, and the first isomorphism theorem gives

G L_{2} / S L_{2} ≅ C^{*}

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