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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
River Edge, NJ :
World Scientific,
©2002.
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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.