Título: | Centroids |
Autores: | Lyutikov, Sergey. |
Fecha: | 1999 |
Publicador: | McGill University |
Fuente: |
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Tipo: | Electronic Thesis or Dissertation |
Tema: | Mathematics. |
Descripción: | This thesis contains a description of centroids, or maximal rings of scalars, for the class of CSA-groups, including free, universally free, and torsion-free hyperbolic groups. We also describe centroids of free products of groups, R-free nilpotent groups, and UTn(R), where R is a binomial ring. Using the results about the structure of centroids for R-free nilpotent groups, we solve the long-standing problem of rigidity for R-free nilpotent groups, posed by F. Grunewald and D. Segal. We also establish the rigidity of the groups UTn( R). |
Idioma: | en |
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