TITLE:
Periodic Bifurcations in Descendant Trees of Finite p-Groups
AUTHORS:
Daniel C. Mayer
KEYWORDS:
Finite p-Group, Central Series, Descendant Tree, Pro-p Group, Coclass Tree, p-Covering Group, Nuclear Rank, Multifurcation, Coclass Graph, Parametrized Presentation, Commutator Calculus, Schur -Group
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.4,
March
23,
2015
ABSTRACT: Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to
provide computational evidence of a new type of periodically repeating patterns
in pruned descendant trees of finite p-groups.