On the structure of some infinite dimensional linear groups

Dixon, Martyn R. ; Kurdachenko, Leonid A. ; Otal, Javier (Universidad de Zaragoza)

Resumen: If G is a group and if the upper hypercenter, Z, of G is such that G/Z is finite then a recent theorem shows that G contains a finite normal subgroup L such that G/L is hypercentral. The purpose of the current paper is to obtain a version of this result for subgroups G of GL(F,A), when A is an infinite dimensionalF-vector space.

Idioma: Inglés

DOI: 10.1080/00927872.2016.1175593

Año: 2017

Publicado en: COMMUNICATIONS IN ALGEBRA 45, 1 (2017), 234-246
ISSN: 0092-7872

Factor impacto JCR: 0.481 (2017)

Categ. JCR: MATHEMATICS rank: 247 / 309 = 0.799 (2017) - Q4 - T3

Factor impacto SCIMAGO: 0.697 - Algebra and Number Theory (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2010-19938-C03-03

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Algebra (Dpto. Matemáticas)