Schreier spectrum of the Hanoi Towers group on three pegs Conference Paper uri icon

abstract

  • Finite dimensional representations of the Hanoi Towers group are used to calculate the spectra of the finite graphs associated to the Hanoi Towers Game on three pegs (the group serves as a renorm group for the game). These graphs are Schreier graphs of the action of the Hanoi Towers group on the levels of the rooted ternary tree. The spectrum of the limiting graph (Schreier graph of the action on the boundary of the tree) is also provided.

published proceedings

  • ANALYSIS ON GRAPHS AND ITS APPLICATIONS

author list (cited authors)

  • Grigorchuk, R., & uni, Z.

citation count

  • 22

complete list of authors

  • Grigorchuk, Rostislav||Šunić, Zoran

publication date

  • January 2008