Heider, Franz-Peter; Schmithals, Bodo Zur Kapitulation der Idealklassen in unverzweigten primzyklischen Erweiterungen. (German) Zbl 0505.12016 J. Reine Angew. Math. 336, 1-25 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 28 Documents MSC: 11R37 Class field theory 11R18 Cyclotomic extensions 11R23 Iwasawa theory 11R34 Galois cohomology Keywords:ideal class groups; capitualtion kernel; cohomology of the unit group; units; transfer; Artin’s reciprocity law; group extensions; effective methods for computing Citations:Zbl 0009.10202; Zbl 0186.090 PDFBibTeX XMLCite \textit{F.-P. Heider} and \textit{B. Schmithals}, J. Reine Angew. Math. 336, 1--25 (1982; Zbl 0505.12016) Full Text: Crelle EuDML Online Encyclopedia of Integer Sequences: Absolute discriminants of complex quadratic fields with 3-class group of elementary abelian type (3,3) of rank 2. Absolute discriminants of complex quadratic fields with 3-class group of type (3,3), 3-principalization type (2143), IPAD [(3,9)^4], and Hilbert 3-class field tower of unknown length at least 3. Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and 3-principalization type (4224). Discriminants of real quadratic fields with 3-class tower group <81,10>. Absolute discriminants of imaginary quadratic number fields with elementary bicyclic 5-class group (5,5)