The Rank of the 2-Class Group of Some Fields with Large Degree
| Autor: | Chems-Eddin, Mohamed Mahmoud |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Algebra and Number Theory Mathematics - Number Theory Mathematics::Number Theory Computer Science::Information Retrieval Applied Mathematics FOS: Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Number Theory (math.NT) ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Algebra Colloquium. 29:181-188 |
| ISSN: | 0219-1733 1005-3867 |
| Popis: | Let $n\geq 3$ be an integer and $d$ an odd square-free integer. We shall compute the rank of the $2$-class group of $L_{n,d}:=\mathbb{Q}(\zeta_{2^n},\sqrt{d})$, when all the prime divisors of $d$ are congruent to $\pm 3\pmod 8$ or $9\pmod{16}$. Comment: 9 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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