2013/04/03 by Zoran Sunic, Sunic, Zoran
Mathematics · #06F15 #20E05 #37E10 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:06F15 #msc:20E05 #msc:37E10
paper · pdf · doi:10.48550/arxiv.1304.0837
4 figures
arxiv created 2013/04/03 · arxiv updated 2013/04/04
For every finitely generated free group we construct an explicit left order extending the lexicographic order on the free monoid generated by the positive letters. The order is defined by a left, free action on the orbit of 0 of a free group of piecewise linear homeomorphisms of the line. The membership in the positive cone is decidable in linear time in the length of the input word. The positive cone forms a context-free language closed under word reversal.