%0 Journal Article %T Relatively Hyperbolic Coxeter Groups with maximal Flats of codimension 1 %A Giang Le %J Mathematics %D 2015 %I arXiv %X We study relatively hyperbolic Coxeter groups of type $HM$ with maximal Euclidean Coxeter subgroups of codimension 1. Our main result in this paper is that the dimension of these groups is bounded above. %U http://arxiv.org/abs/1506.01620v1