Memoirs of the American Mathematical Society 2012; 108 pp; softcover Volume: 220 ISBN10: 0821869116 ISBN13: 9780821869116 List Price: US$70 Individual Members: US$42 Institutional Members: US$56 Order Code: MEMO/220/1033
 The author classifies all the symmetric integer bilinear forms of signature \((2,1)\) whose isometry groups are generated up to finite index by reflections. There are 8,595 of them up to scale, whose 374 distinct Weyl groups fall into 39 commensurability classes. This extends Nikulin's enumeration of the strongly squarefree cases. The author's technique is an analysis of the shape of the Weyl chamber, followed by computer work using Vinberg's algorithm and a "method of bijections". He also corrects a minor error in Conway and Sloane's definition of their canonical \(2\)adic symbol. Table of Contents  Background
 The classification theorem
 The reflective lattices
 Bibliography
