Semilinear orderings for solvable and nilpotent groups (Q1191172)
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scientific article; zbMATH DE number 59387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilinear orderings for solvable and nilpotent groups |
scientific article; zbMATH DE number 59387 |
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Semilinear orderings for solvable and nilpotent groups (English)
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27 September 1992
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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.
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ordered group
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free solvable group
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right semilinear order
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locally nilpotent group
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