A connected three-sheeted cover has transitive monodromy. If it also has a simple branch point, its monodromy contains a transposition and must be the full symmetric group on three letters. A local triple branch supplies a three-cycle explicitly.

Ancestors (9)

  1. Monodromy group of a covering
  2. Monodromy theorem
  3. Analytic continuation
  4. Holomorphic function
  5. Complex analysis
  6. Analysis
  7. Area of mathematics
  8. Mathematics
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