论文标题
有限性猜想在SL（2，z> = 0）^2中保存
The finiteness conjecture holds in SL(2,Z>=0)^2
论文作者
论文摘要
令a，b为具有大于或等于2的sl（2，r）中的矩阵。假设对a，b是连贯定向的，即可以将其连接到具有非负条品的对对。还假定A，B^（-1）也是相干定向的，或A，B具有整数条目。然后，Lagarias-wang的有限性猜想为{a，b}的集合所保留，并在{a，b，ab，a^2b，ab^2}中具有最佳乘积。特别是，它适用于SL（2，z> = 0）中的每个矩阵对。
Let A,B be matrices in SL(2,R) having trace greater than or equal to 2. Assume the pair A,B is coherently oriented, that is, can be conjugated to a pair having nonnegative entries. Assume also that either A,B^(-1) is coherently oriented as well, or A,B have integer entries. Then the Lagarias-Wang finiteness conjecture holds for the set {A,B}, with optimal product in {A,B,AB,A^2B,AB^2}. In particular, it holds for every matrix pair in SL(2,Z>=0).
