On exterior Galois representations associated with open elliptic curves

J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 1, Page 197--231.

Nakamura, Hiroaki
On exterior Galois representations associated with open elliptic curves
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Abstract:
We give an explicit formula for the two variable power series meta-abelianizing the exterior Galois representations in the fundamental groups of punctured elliptic curves. Some applications to Grothendieck's anabelian conjecture are presented.

Mathematics Subject Classification (1991): Primary 14H30; Secondary 11G05, 11G16, 11F80
Mathematical Reviews Number: MR1348028

Received: 1994-08-29