Bush, M.R. and Mayer, D.C. (2015) 3-Class Field Towers of Exact Length 3. J. Number Theory, 147, 766-777. (arXiv: 1312.0251v1 [math.NT] 1 Dec 2013.)

has been cited by the following article:

• TITLE: Periodic Sequences of p-Class Tower Groups

  AUTHORS: Daniel C. Mayer

  KEYWORDS: p-Class Field Towers, p-Principalization, p-Class Groups, Quadratic Fields, Multiquadratic Fields, Cubic Fields, Finite p-Groups, Parametrized Pc-Presentations, p-Group Generation Algorithm

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.7, June 30, 2015

  ABSTRACT: Recent examples of periodic bifurcations in descendant trees of finite p-groups with are used to show that the possible p-class tower groups G of certain multiquadratic fields K with p- class group of type (2,2,2) , resp. (3,3), form periodic sequences in the descendant tree of the elementary Abelian root , resp. . The particular vertex of the periodic sequence which occurs as the p-class tower group G of an assigned field K is determined uniquely by the p-class number of a quadratic, resp. cubic, auxiliary field k, associated unambiguously to K. Consequently, the hard problem of identifying the p-class tower group G is reduced to an easy computation of low degree arithmetical invariants.