• ZERO-DIMENSIONAL SYMMETRY SEMINAR
  • Speaker: Dr Stephan Tornier, The University of Newcastle
  • Title: An introduction to self-similar groups
  • Location: Room G29, McMullin (Callaghan Campus) The University of Newcastle
  • Time and Date: 2:00 pm, Mon, 3rd Sep 2018
  • Abstract:

    We introduce the notion of self-similarity for groups acting on regular rooted trees as well as their description using automata and wreath iteration. Following the definition of Grigorchuk's group we show that it is an infinite, finitely generated 2-group. The proof illustrates the use of self-similarity.

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  • CARMA GROUP THEORY RHD MEETING
  • Speaker: Dr Stephan Tornier, The University of Newcastle
  • Title: A reminder of field and Galois theory
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 11:00 am, Thu, 19th Jan 2017
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  • CARMA GROUP THEORY RHD MEETING
  • Speaker: Dr Stephan Tornier, The University of Newcastle
  • Title: p-localisations of automorphism groups of trees
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 11:00 am, Thu, 6th Oct 2016
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  • CARMA EVENT
  • Focus on Group Theory Day
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Dates: Mon, 27th Jul 2015 - Mon, 27th Jul 2015
  • Schedule:
    • 11-12 Luke Morgan, UWA
    • 12-1 Lunch
    • 1-2 Stephan Tornier, ETH (Zurich)
    • 2-3 Afternoon tea
    • 3-4 Simon Smith, CityTech, CUNY (New York)


  • Speaker: Luke Morgan, University of Western Australia
  • Title: On locally-transitive discrete automorphism groups of bi-regular trees
  • Abstract for On locally-transitive discrete automorphism groups of bi-regular trees:
         I'll give an overview of some recent developments in the theory of groups of automorphisms of trees which are discrete in the full automorphism group of the tree and are locally-transitive. I'll also mention some questions which have been provoked by this work.

  • Speaker: Dr Stephan Tornier, The University of Newcastle
  • Title: On a generalization of Burger-Mozes universal groups
  • Abstract for On a generalization of Burger-Mozes universal groups:
         We generalize the Burger-Mozes universal groups acting on regular trees by prescribing the local action on balls of a given radius, and study the basic properties of this construction. We then apply our results to prove a weak version of the Goldschmidt-Sims conjecture for certain classes of primitive permutation groups.

  • Speaker: Simon Smith, CityTech, City University of New York
  • Title: Structural results about infinite permutation groups
  • Abstract for On locally-transitive discrete automorphism groups of bi-regular trees:

    I'll give an overview of some recent developments in the theory of groups of automorphisms of trees which are discrete in the full automorphism group of the tree and are locally-transitive. I'll also mention some questions which have been provoked by this work.

  • Abstract for On a generalization of Burger-Mozes universal groups:

    We generalize the Burger-Mozes universal groups acting on regular trees by prescribing the local action on balls of a given radius, and study the basic properties of this construction. We then apply our results to prove a weak version of the Goldschmidt-Sims conjecture for certain classes of primitive permutation groups.

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