2011/06/20 by Tobias Schlemmer, Schlemmer, Tobias
Computer Science · Engineering · Mathematics · #(46A40) #06F20 #20K15 #20K20 #46B40 #Advanced Algebra and Logic #FOS: Mathematics #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:06F20 #msc:20K15 #msc:20K20 #msc:46B40 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1106.3938
Talk at AAA81 conference in Salzburg. Completely revised version. revised version of: Technische Universtiät Preprint MATH-AL-01-2011
openalex publication_date 2011/06/20 · arxiv created 2014/03/12 · arxiv updated 2014/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Partially ordered groups, also known as po-groups, are groups with a compatible partial order. Results from M.I. Zajceva and H.-H. Teh are combined in order to provide a full characterisation of linear order extensions of a given order on a group. In contrast to Teh this approach provides a method to discuss linear orders of different abelian rank in a uniform manner. This will be achieved by modelling the linear orders using hyperplanes in a real vector spaces. Among some additional remarks a construction of an archimedian directed order is given for every torsion free abelian group.