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Azizi, A., Zekhnini, A. and Taous, M. (2015) Coclass of for Some Fields with 2-Class Groups of Type . To appear in J. Algebra Appl.

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.