2011/07/04 by Tetsuya Ito, Ito, Tetsuya
Mathematics · #06F15 #20F60 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:06F15 #msc:20F60
paper · pdf · doi:10.48550/arxiv.1107.0545
21 Pages, no figure: Erros in Section 3 are corrected
arxiv created 2013/02/20 · arxiv updated 2013/02/21
We give a new method to construct isolated left orderings of groups whose positive cones are finitely generated. Our construction uses an amalgamated free product of two groups having an isolated ordering. We construct a lot of new examples of isolated orderings, and give an example of isolated left orderings having various properties which previously known isolated orderings do not have.