Invariant boundary distributions for finite graphs

Let be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary of the universal covering tree is an M-valued measure defined on clopen sets. If M has no (G)-torsion then the group of -invariant distributions on is isomorphic to H1(G, M).

• Type: Journal
• Year: 2008
• Where: JCT
• Authors: Guyan Robertson
• Keywords: Finite Connected Graph, Fundamental Group, Group, JCT 2008