26 research outputs found

    Cyclic Reduction of Central Embedding Problems

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    AbstractIt is shown that every central embedding problem E for the absolute Galois group G of a number field has a so-called cyclic reduction E′; this is a central embedding problem for G with a cyclic quotient group J of G such that E is solvable if and only if E′ is solvable. Some information about the minimal order of J is also provided

    Some Numerical Invariants Related to Central Embedding Problems

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    AbstractFor every central embedding problem three numerical invariants which give information about its solvability are defined. Furthermore, in the number field case universal estimates for these invariants are given

    Thetafunktionen und Weil-Darstellunqen proendlicher Gruppen

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    Cyclic Reduction of Central Embedding Problems

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    AbstractIt is shown that every central embedding problem E for the absolute Galois group G of a number field has a so-called cyclic reduction E′; this is a central embedding problem for G with a cyclic quotient group J of G such that E is solvable if and only if E′ is solvable. Some information about the minimal order of J is also provided

    Cyclic Reduction of Central Embedding Problems

    No full text
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