A two-dimensional version of the Goldschmidt-Sims conjecture

[摘要] 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. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-11-15