an:03851174
Zbl 0536.06016
Medvedev, N. Ya.
On some questions of the theory of partially ordered groups
EN
Algebra Logic 22, 316-321 (1983); translation from Algebra Logika 22, No. 4, 435-442 (1983).
00149630
1983
j
06F15 20F60 20E07
convex locally nilpotent \(\ell\)-subgroup; linearly orderable group
The main results of this paper are as follows. It is proved that in each \(\ell\)-group there exists a largest convex locally nilpotent \(\ell\)- subgroup. There is constructed a linearly orderable group G having a subgroup H of finite index with a nilpotent commutant such that the commutant of G fails to be nilpotent. A partial solution of question 12 in the problem list [Notices Am. Math. Soc. 29, 327 (1982)] is given.
J.Jakub??k