Groups with prescribed quotient groups and associated module theory [[electronic resource] /] / L. Kurdachenko, J. Otal, I. Subbotin

• Autore: Kurdachenko L
• Pubblicazione: River Edge, NJ, : World Scientific, c2002
• Descrizione fisica: 1 online resource (244 p.)
• Disciplina: 512/.2
• Soggetto topico: Group theory; Modules (Algebra)
• Altri autori: OtalJean-Pierre SubbotinIgor Ya. <1950->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 203-219) and index.
• Nota di contenuto: Contents ; Preface ; Notation ; 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 Generalizations of Abelian Groups ; 4. Complements of Simple Submodules ; II Just Infinite Modules ; 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 ; Bibliography ; Author Index ; Subject Index
• Sommario/riassunto: 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 and promising. This theme has a history that is almost a half-century long. The authors of this book present well-established results as well as newer, contemporary achievements in this area from the common integral point of view. This view is based on the implementation of module theory for solving
• Titolo autorizzato: Groups with prescribed quotient groups and associated module theory
• ISBN: 981-277-829-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784792903321
• Lo trovi qui: Univ. Federico II
• Serie: Series in algebra ; ; v. 8.