The distribution of second p-class groups on coclass graphs

Der Briefwechsel Hasse - Scholz - Taussky

“…Remmert [268] [14], [215]), Bartholdi [16], Bush [47,48,49], Hajir [107,108], Kuhnt [160], Maire [181,182], D. Mayer [188,189,190,191]), McLeman [193], Nover [231], Steurer [307]. Auch die gruppentheoretische Seite dieses Themenkomplexes wurde ausgiebig untersucht (Magnus [180], Serre [293], Nebelung, [222]).…”

“…In den letzten Jahren haben auch Bush und vor allem D. Mayer [188,189,190,191,49] die Kapitulation in unverzweigten kubischen Erweiterungen und die dazugehöri-gen Klassenkörpertürme ausgiebig untersucht.…”

Index-<i>p</i> Abelianization Data of <i>p</i>-Class Tower Groups

“…were selected in a canonical way, particularly adequate for theoretical aspects ( [5], Section 3.2, p. 424), ( [9], Section 3.3.2, p. 429).…”

“…Our desire is to show that the components of the ordered IPAD and TKT [9] [19] are in a strict correspondence to each other. For this purpose, we exploit details of the proofs given in [5], where generators of metabelian 3-groups G with ( )…”

“…We start with pro-3 groups G whose metabelianizations G G′′ are vertices on sporadic parts of coclass graphs outside of coclass trees ( [9], Section 2, p. 410), ([16] Section 10).…”