Conciseness in compact R-analytic groups
We prove that every word is concise in the class of compact R- analytic groups. That is, for every word w and every compact R-analytic group G such that the set of word values w{G} is finite, the verbal subgroup w(G) is also finite.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/61524 |
| Acceso en línea: | http://hdl.handle.net/10810/61524 |
| Access Level: | acceso abierto |
| Palabra clave: | profinite groups R-analytic groups group word conciseness strong conciseness |
| Sumario: | We prove that every word is concise in the class of compact R- analytic groups. That is, for every word w and every compact R-analytic group G such that the set of word values w{G} is finite, the verbal subgroup w(G) is also finite. |
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