论文信息 - Residual finiteness of surface groups via tessellations

Residual finiteness of surface groups via tessellations

We give an alternative proof to a theorem by P. Scott that surface groups have the locally extended residually finite (LERF) property, using combinatorial properties of tilings of the hyperbolic plane.

L. M. Lopez

[1] Peter Scott. Subgroups of Surface Groups are Almost Geometric , 1978 .

[2] Peter Scott. Correction to ‘Subgroups of Surface Groups are almost Geometric’ , 1985 .

[3] Danièle Beauquier,et al. On translating one polyomino to tile the plane , 1991, Discret. Comput. Geom..

[4] W. Magnus. Noneuclidean tesselations and their groups , 1974 .

[5] David B. A. Epstein,et al. Word processing in groups , 1992 .

[6] R. G. Burns,et al. The subgroup separability of free products of two free groups with cyclic amalgamation , 1984 .