%0 Journal Article %T Periodic Bifurcations in Descendant Trees of Finite <i>p</i>-Groups %A Daniel C. Mayer %J Advances in Pure Mathematics %P 162-195 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.54020 %X Theoretical background and an implementation of the p-group generation algorithm by Newman and OˇŻBrien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups. %K Finite < %K i> %K p< %K /i> %K -Group %K Central Series %K Descendant Tree %K Pro-< %K i> %K p< %K /i> %K Group %K Coclass Tree %K < %K i> %K p< %K /i> %K -Covering Group %K Nuclear Rank %K Multifurcation %K Coclass Graph %K Parametrized Presentation %K Commutator Calculus %K Schur -Group %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54896