%0 Journal Article
%T Periodic Sequences of p-Class Tower Groups
%A Daniel C. Mayer
%J Journal of Applied Mathematics and Physics
%P 746-756
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.37090
%X <p class=\"MsoNormal\">
	<span lang=\"EN-US\">Recent examples of periodic bifurcations in
descendant trees of finite p-groups with <img src=\"Edit_9cbcf8ee-264f-4182-a221-014e42221898.png\" alt=\"\" /><v:shapetype id=\"_x0000_t75\" coordsize=\"21600,21600\" o:spt=\"75\" o:preferrelative=\"t\" path=\"m@4@5l@4@11@9@11@9@5xe\" filled=\"f\" stroked=\"f\">
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  <v:f eqn=\"sum @0 0 1\">
  <v:f eqn=\"prod @6 1 2\">
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</xml><![endif]-->&nbsp;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)<v:shape id=\"_x0000_i1026\" type=\"#_x0000_t75\" style=\"width:32.25pt;height:14.25pt;\" o:ole=\"\"><v:imagedata src=\"file:///C:\Users\fliu\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz\" o:title=\"\"></v:imagedata></v:shape><!--[if gte mso 9]><xml>
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</xml><![endif]-->, resp. (3,3), form periodic sequences in the descendant tree of the
elementary Abelian root <img src=\"Edit_e398bd6a-d698-4d8b-999f-1c2de4593c3f.png\" alt=\"\" /><v:shape id=\"_x0000_i1028\" type=\"#_x0000_t75\" style=\"width:15pt;height:17.25pt;\" o:ole=\"\">
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%K p-Class Field Towers
%K p-Principalization
%K p-Class Groups
%K Quadratic Fields
%K Multiquadratic Fields
%K Cubic Fields
%K Finite p-Groups
%K Parametrized Pc-Presentations
%K p-Group Generation Algorithm
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57577