| Title:
|
On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$ (English) |
| Author:
|
Jakubec, Stanislav |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
263-270 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to prove the following Theorem Theorem Let $K$ be an octic subfield of the field $Q(\zeta _p+\zeta _p^{-1})$ and let $p=n^4+16$ be prime. Then $p$ divides $h_K$ if and only if $p$ divides $B_j$ for some $j=\frac{p-1}{8}$, $3\frac{p-1}{8}$, $5\frac{p-1}{8}$, $7\frac{p-1}{8}$. (English) |
| MSC:
|
11B68 |
| MSC:
|
11R18 |
| MSC:
|
11R20 |
| MSC:
|
11R29 |
| idZBL:
|
Zbl 0818.11042 |
| idMR:
|
MR1322570 |
| . |
| Date available:
|
2008-06-06T21:27:00Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107512 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
