Automorphisms of Pure Sphere Braid Groups and Galois Representations

  • Yasutaka Ihara
Part of the Modern Birkhäuser Classics book series


Let Pn be the pure braid group of the 2-sphere, with n strings (n ≥ 3), and \( \hat P_n \) be its pro- completion (: a fixed prime number). We shall study what we call the special automorphism groups of Pn and \( \hat P_n \), and apply it to Galois representations of the type proposed in Grothendieck [7].


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Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • Yasutaka Ihara
    • 1
  1. 1.Department of Mathematics Faculty of ScienceUniversity of TokyoTokyoJapan

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