On some questions of the theory of partially ordered groups (Q791558)
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scientific article; zbMATH DE number 3851174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some questions of the theory of partially ordered groups |
scientific article; zbMATH DE number 3851174 |
Statements
On some questions of the theory of partially ordered groups (English)
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1983
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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.
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convex locally nilpotent \(\ell\)-subgroup
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linearly orderable group
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