Semilinear orderings for solvable and nilpotent groups
Using results of S. A. Andeleke, M. A. E. Dummett and P. M. Neumann the author proves the following theorem: A free solvable group of arbitrary rank of solvability is orderable by a right semilinear order which is not linear. The other result of the paper is: Any semilinear right order on a locally nilpotent group is linear.
scientific article; zbMATH DE number 59387