
AbstractLet L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p‐ranks of the class groups Cl(K) and Cl(k). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Mathematics - Number Theory, Embedding problems, Dihedral extension, Class numbers, class groups, discriminants, 11R29, dihedral extension, Reflection theorems, Class groups, Cubic and quartic extensions, FOS: Mathematics, unramified extensions, Number Theory (math.NT), Unramified extensions, reflection theorems, embedding problems
Mathematics - Number Theory, Embedding problems, Dihedral extension, Class numbers, class groups, discriminants, 11R29, dihedral extension, Reflection theorems, Class groups, Cubic and quartic extensions, FOS: Mathematics, unramified extensions, Number Theory (math.NT), Unramified extensions, reflection theorems, embedding problems
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 12 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
