Abstract: | We construct an example of a fully orderable group that is not locally solvable. It is also shown that a free group is embedded in a fully orderable group. To meet these ends, use is made of a group of invertible formal power series with zero free term under composition. Supported by RFFR grant No. 96-01-00088. Translated fromAlgebra i Logika, Vol. 37, No. 3, pp. 301–319, May–June, 1998. |