• Title of article

    Sandpile group on the graph Dn of the dihedral group

  • Author/Authors

    Dartois، نويسنده , , Arnaud and Fiorenzi، نويسنده , , Francesca and Francini، نويسنده , , Paolo، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    10
  • From page
    815
  • To page
    824
  • Abstract
    In this paper we study the structure of the Abelian sandpile group on the Cayley graph Dn of the dihedral group Dn=〈a,b∣an=b2=(ab)2=1〉. We prove that the Smith normal form of the sandpile group is not cyclic as one can generally expect but is always the direct product of two or three cyclic groups. We conclude by considering some particular cases.
  • Journal title
    European Journal of Combinatorics
  • Serial Year
    2003
  • Journal title
    European Journal of Combinatorics
  • Record number

    1549999

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1549999