Article ID Journal Published Year Pages File Type
4656098 Journal of Combinatorial Theory, Series A 2008 7 Pages PDF
Abstract

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

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics