Periodic Bifurcations in Descendant Trees of Finite p-Groups - Advances in Pure Mathematics

APM > Vol.5 No.4, March 2015

Periodic Bifurcations in Descendant Trees of Finite p-Groups ()

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Download as PDF (Size: 4420KB) PP. 162-195

DOI: 10.4236/apm.2015.54020 2,888 Downloads 3,641 Views Citations

Author(s)

Daniel C. Mayer^*

Affiliation(s)

Naglergasse 53, 8010 Graz, Austria.

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.

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

Share and Cite:

Mayer, D. (2015) Periodic Bifurcations in Descendant Trees of Finite p-Groups. Advances in Pure Mathematics, 5, 162-195. doi: 10.4236/apm.2015.54020.

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