On the structure of a Galois Lie algebra

  • Romyar T. Sharifi
  • Published 2002

Abstract

Let X = PQ − {0, 1,∞}. The long exact sequence of étale fundamental groups 1 → π 1 (XQ̄) → π et 1 (X) → GQ → 1, with GQ = Gal(Q̄/Q), yields a canonical representation φ : GQ → Out(π et 1 (XQ̄)). Passing to the maximal pro-p quotient π (p) 1 of π et 1 (XQ̄) for p odd, we may consider φ (p) : GQ → Out(π (p) 1 ). Let Ω ∗ denote the fixed field of φ. If π (p) 1… (More)

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