On the metabelian property of quotient groups of solvable groups of orientation-preserving homeomorphisms of the line
| Autor: | Beklaryan, Levon |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For the class of solvable groups of homeomorphisms of the line preserving orientation and containing a freely acting element, we establish the metabelianity of the quotient group $G/H_G$, where the elements of the normal subgroup $H_G$ are stabilizers of the minimal set. This fact is an important element in the classification theorem, used, in particular, in the study of the Thompson's group $F$. Comment: 6 pages, 1 figure |
| Databáze: | arXiv |
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