Article
| Title: | Class groups of large ranks in biquadratic fields (English) |
| Author: | Ram, Mahesh Kumar |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 2 |
| Year: | 2024 |
| Pages: | 429-436 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | For any integer $n>1$, we provide a parametric family of biquadratic fields with class groups having $n$-rank at least 2. Moreover, in some cases, the $n$-rank is bigger than 4. (English) |
| Keyword: | ideal class group |
| Keyword: | biquadratic field |
| MSC: | 11R11 |
| MSC: | 11R29 |
| idZBL: | Zbl 07893391 |
| idMR: | MR4764532 |
| DOI: | 10.21136/CMJ.2024.0356-23 |
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| Date available: | 2024-07-10T14:52:01Z |
| Last updated: | 2024-12-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152450 |
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