Cargando…

Groups with prescribed quotient groups and associated module theory /

The influence of different gomomorphic images on the structure of a group is one of the most important and natural problems of group theory. The problem of describing a group with all its gomomorphic images known, i.e. reconstructing the whole thing using its reflections, seems especially natural an...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kurdachenko, Leonid A., 1949-
Otros Autores: Otal, Jean-Pierre, Subbotin, Igor Ya., 1950-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, NJ : World Scientific, ©2002.
Colección:Series in algebra ; v. 8.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • I. Simple Modules
  • On annihilators of modules
  • Structure of simple modules over Abelian Groups
  • Structure of simple modules over some generalization of Abelian groups
  • Complements of simple submodules
  • II. Just infinite modules
  • Some results on modules over Dedekind domains
  • Just infinite modules over FC-hypercentral groups
  • Just infinite modules over groups of finite 0-rank
  • Just infinite modules over polycyclic-by-finite groups
  • Co-layer-finite modules over Dedekind domains
  • III. Just non-X-groups
  • Fitting subgroup of some just non-X-groups
  • Just non-Abelain groups
  • Just non-hypercentral groups and just non-hypercentral modules
  • Groups with many nilpotent factor-groups
  • Groups with proper periodic factor-groups
  • Just non-(polycyclic-by-finite) groups
  • Just non-CC-groups and related classes
  • Groups whose proper factor-groups have a transitive normality relation.