id author title date pages extension mime words sentence flesch summary cache txt wm117m03w68 Tom Edgar Dominance and regularity in Coxeter groups 2010 .txt text/plain 217 11 56 In the current work, we consider generalized length functions in Coxeter systems and show that these length functions lead to a larger family of finite state automata, which in turn recognize a larger class of natural subsets of Coxeter groups. This allows us to deduce some consequences about the growth type of Coxeter systems. cache/wm117m03w68.txt txt/wm117m03w68.txt