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A note on Hilbert class fields of algebraic number fields

✍ Scribed by K. Györy; W. Leahey


Publisher
Akadmiai Kiad
Year
1977
Tongue
English
Weight
271 KB
Volume
29
Category
Article
ISSN
1588-2632

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Higher Degree Hilbert Symbol Equivalence
✍ Alfred Czogała; Andrzej Sładek 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 278 KB

Hilbert symbol equivalence of degree n between two global fields containing a primitive n th root of unity is an isomorphism between the groups of n th power classes of these fields preserving Hilbert symbols of degree n. In the paper we prove that if n is an odd prime number then two number fields