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《中国科学通报：英文版》
>Classification and prime decomposition of abelian q-fields
Classification and prime decomposition of abelian q-fields
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摘要
Let q be any rational prime number.An abelian q-field L is a Galois extension overQ with Galois group as an abelian q-group(i.e.an abelian group whose order is a powerof q).We here will give the classification of all the abelian q-fields L,the explicit law ofprime decomposition of any prime number p in L,the inertia groups,residue class de-grees,and discriminants of L,developing systematically and completely the results onfields of types(2,2,…,2),(q, q,…,q),and(q^s,q^s,…,q^s)in many references obtainedby specific method in each case.
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