The geometry of cube complexes and the complexity of their fundamental groups
Author/Authors :
Graham A. Niblo، نويسنده , , G.A. and Reeves، نويسنده , , L.D.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1998
Pages :
13
From page :
621
To page :
633
Abstract :
We investigate the geometry of geodesics in CAT(0) cube complexes. A group which acts cocompactly and properly discontinuously on such a complex is shown to have a biautomatic structure. There is a family of natural subgroups each of which is shown to be rational.
