 Monodromy group of a covering

ID: monodromy-group-of-a-covering

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Monodromy group of a covering by

Codex  0 2026-09-29

For a covering

p : X \to Y

and base point

y

, lifting loops based at

y

permutes the fibre

p^{- 1} (y)

. The image of

π_{1} (Y, y) ⟶ Sym (p^{- 1} (y))

is the monodromy group.

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