We show that solvable absolute Galois groups have an abelian normal subgroup such that the quotient is the direct product of two finite cyclic and a torsion-free procyclic group. In particular, solvable absolute Galois groups are metabelian. Moreover, any field with solvable absolute Galois group G admits a non-trivial henselian valuation, unless each Sylow-subgroup of G is either procyclic or isomorphic to Z_2 * Z/2Z. A complete classification of solvable absolute Galois groups (up to isomorphism) is given.
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机译：我们表明，可解的绝对Galois基团具有abelian正规子群，因此商是两个有限循环和无扭转的前环基团的直接乘积。特别是，可解的绝对Galois基团是metabelian。此外，任何具有可解绝对Galois组G的字段均会接受非平凡的henselian估值，除非G的每个Sylow子组是顺环的或与Z_2 * Z / 2Z同构的。给出了可解的绝对Galois基团（直至同构）的完整分类。
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