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The External Fundamental Group of an Algebraic Number Field

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 نشر من قبل Timothy Gendron
 تاريخ النشر 2010
  مجال البحث
والبحث باللغة English
 تأليف T. M. Gendron




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We associate to every algebraic number field a hyperbolic surface lamination and an external fundamental group: the latter a generalization of the fundamental germ that necessarily contains external (not first order definable) elements. The external fundamental group of the rationals is a split extension of the absolute Galois group, that conjecturally contains a subgroup whose abelianization is isomorphic to the idele class group.

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