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The factorization of p in \({\mathbb{Q}}(a^{1/p^ k})\) and the genus field of \({\mathbb{Q}}(a^{1/n})\)

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Publication:1115477
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DOI10.3836/TJM/1270134258zbMath0664.12003OpenAlexW2035412431MaRDI QIDQ1115477

William Yslas Vélez

Publication date: 1988

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270134258


zbMATH Keywords

factorizationgenus fieldring of integers


Mathematics Subject Classification ID

Algebraic field extensions (12F05) Units and factorization (11R27) Cyclotomic extensions (11R18)


Related Items (3)

Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction ⋮ Ramification groups and Artin conductors of radical extensions of \(\mathbb Q\) ⋮ Decomposition of primes in number fields defined by trinomials







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