GRUPOS Y GEOMETRIA II
PID2020-117281GB-I00
•
Nombre agencia financiadora Agencia Estatal de Investigación
Acrónimo agencia financiadora AEI
Programa Programa Estatal de Generación de Conocimiento y Fortalecimiento Científico y Tecnológico del Sistema de I+D+i
Subprograma Subprograma Estatal de Generación de Conocimiento
Convocatoria Proyectos I+D
Año convocatoria 2020
Unidad de gestión Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020
Centro beneficiario UNIVERSIDAD DEL PAIS VASCO EUSKAL HERRIKO UNIBERTSITATEA
Identificador persistente http://dx.doi.org/10.13039/501100011033
Publicaciones
Found(s) 1 result(s)
Found(s) 1 page(s)
Found(s) 1 page(s)
On generalisations of conciseness
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
- Zozaya, Andoni
Based on the notions of conciseness and semiconciseness, we
show that these properties are not equivalent by proving that a word
originally presented by Ol’shanskii is semiconcise but not concise. We
further establish that every 1/m-concise word is semiconcise by proving
that when the group-word w takes finitely many values in G, the iterated
commutator subgroup [w(G), G, (m) ...,G] is finite for some m ∈ N if and
only if [w(G), G] is finite., The author is supported by the project PID2020-117281GB-I00 (Spanish Government, partially funded with ERDF) and by the research group 244 Álgebra. Aplicaciones (Public University of Navarra). Open Access funding provided by Universidad Publica de Navarra.
show that these properties are not equivalent by proving that a word
originally presented by Ol’shanskii is semiconcise but not concise. We
further establish that every 1/m-concise word is semiconcise by proving
that when the group-word w takes finitely many values in G, the iterated
commutator subgroup [w(G), G, (m) ...,G] is finite for some m ∈ N if and
only if [w(G), G] is finite., The author is supported by the project PID2020-117281GB-I00 (Spanish Government, partially funded with ERDF) and by the research group 244 Álgebra. Aplicaciones (Public University of Navarra). Open Access funding provided by Universidad Publica de Navarra.