Let $L/K$ be an extension of $p$-adic fields. The degree of $L/K$ is the dimension of $L$ as a vector space over $K$.
The base degree $n_0$ of $L/K$ is the degree of $K/\Q_p$. The absolute degree $n_{\mathrm{abs}}$ of $L/K$ is the degree of $L/\Q_p$.
Knowl status:
- Review status: reviewed
- Last edited by David Roe on 2024-11-12 00:45:20
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- lf.family_invariants
- lf.field.label
- lf.invariants
- rcs.cande.lf
- lmfdb/local_fields/main.py (line 526)
- lmfdb/local_fields/main.py (lines 596-598)
- lmfdb/local_fields/main.py (line 1381)
- lmfdb/local_fields/main.py (line 1550)
- lmfdb/local_fields/main.py (line 1580)
- lmfdb/local_fields/main.py (line 1604)
- lmfdb/local_fields/main.py (line 1771)
- lmfdb/local_fields/main.py (line 1781)
- lmfdb/local_fields/main.py (line 1793)
- lmfdb/local_fields/main.py (line 1879)
- lmfdb/local_fields/templates/lf-family.html (line 16)
- lmfdb/local_fields/templates/lf-show-field.html (line 14)
- 2024-11-12 00:45:20 by David Roe (Reviewed)
- 2024-11-10 14:38:36 by Kevin Keating
- 2024-11-10 10:16:01 by Kevin Keating
- 2020-10-07 01:02:56 by David Roe (Reviewed)
- 2018-05-23 14:42:54 by John Cremona (Reviewed)