A two-dimensional version of the Goldschmidt-Sims conjecture Academic Article uri icon

abstract

  • Abstract The Goldschmidt–Sims conjecture asserts that there is a finite number of (conjugacy classes of) edge transitive lattices in the automorphism group of a regular tree with prime valence. We prove a similar theorem for irreducible lattices, transitive on the 2- cells of the product of two regular trees of prime valences.

publication date

  • January 1, 2003