Invariable generation does not pass to finite index subgroups
| Autor: | Goffer, Gil, Lazarovich, Nir |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Groups, Geometry, and Dynamics. 16:1267-1288 |
| ISSN: | 1661-7207 |
| DOI: | 10.4171/ggd/693 |
| Popis: | Using small cancellation methods, we show that the property invariable generation does not pass to finite index subgroups, answering questions of Wiegold and Kantor-Lubotzky-Shalev. We further show that a finitely generated group that is invariably generated is not necessarily finitely invariably generated, answering a question of Cox. The same results were also obtained independently by Minasyan. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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