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https://doi.org/10.1112/blms/bdn007

has been cited by the following article:

• TITLE: Co-Periodicity Isomorphisms between Forests of Finite p-Groups

  AUTHORS: Daniel C. Mayer

  KEYWORDS: Finite p-Groups, Descendant Trees, Pro-p Groups, Coclass Forests, Generator Rank, Relation Rank, Nuclear Rank, Parametrized Polycyclic Pc-Presentations, Automorphism Groups, Central Series, Two-Step Centralizers, Commutator Calculus, Transfer Kernels, Abelian Quotient Invariants, p-Group Generation Algorithm

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.1, January 31, 2018

  ABSTRACT: Based on a general theory of descendant trees of finite p-groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their automorphism groups under these isomorphisms is described with simple transformation laws. For the tree of finite 3-groups with elementary bicyclic commutator qu-otient, the information content of each coclass subtree with metabelian main-line is shown to be finite. As a striking novelty in this paper, evidence is provided of co-periodicity isomorphisms between coclass forests which reduce the information content of the entire metabelian skeleton and a significant part of non-metabelian vertices to a finite amount of data.