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...
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
World Scientific Publishing Company,
2002
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| Series: | Series in algebra.
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- I. Simple modules. 1. On annihilators of modules. 2. The structure of simple modules over abelian groups. 3. The structure of simple modules over some generalization of abelian groups. 4. Complements of simple submodules
- II. Just infinite kodules. 5. Some results on modules over dedekind domains. 6. Just infinite modules over FC-hypercentral groups. 7. Just infinite modules over groups of finite 0-rank. 8. Just infinite modules over polycyclic-by-finite groups. 9. Co-layer-finite modules over dedekind domains
- III. Just non-x-groups. 10. The fitting subgroup of some just non-x-groups. 11. Just non-abelain groups. 12. Just non-hypercentral groups and just non-hypercentral modules. 13. Groups with many nilpotent factor-groups. 14. Groups with proper periodic factor-groups. 15. Just non-(polycyclic-by-finite) groups. 16. Just non-CC-groups and related classes. 17. Groups whose proper factor-groups have a transitive normality relation.
