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Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 1 / 24G / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2026 ii Paper 1 24G
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
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a
A covering evenly covers every base point. It is regular covering map when deck transformations act transitively on fibres. For a concrete nonregular example, restrict z↦z3−3z to
C∖p−1{−2,2}⟶C∖{−2,2}.
(1)
It is a surjective three-sheeted unbranched cover with monodromy S3​, so its deck group is not transitive.

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