04518nam 22006614a 450 991081922100332120240404142524.0981-277-829-2(CKB)1000000000400328(EBL)1679462(OCoLC)879023570(SSID)ssj0000165950(PQKBManifestationID)11161917(PQKBTitleCode)TC0000165950(PQKBWorkID)10145828(PQKB)10607903(MiAaPQ)EBC1679462(WSP)00004839(Au-PeEL)EBL1679462(CaPaEBR)ebr10201276(CaONFJC)MIL505458(iGPub)WSPCB0004791(EXLCZ)99100000000040032820020514d2002 uy 0engur|n|---|||||txtccrGroups with prescribed quotient groups and associated module theory /L. Kurdachenko, J. Otal, I. Subbotin1st ed.River Edge, NJ World Scientificc20021 online resource (244 p.)Series in algebra ;v. 8Description based upon print version of record.981-02-4783-4 Includes bibliographical references (p. 203-219) and index.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 Modules5. 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 DomainsIII 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-Groups15. 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 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 Series in algebra ;v. 8.Group theoryModules (Algebra)Group theory.Modules (Algebra)512/.2Kurdachenko L522034Otal Jean-Pierre1630026Subbotin Igor Ya.1950-522035MiAaPQMiAaPQMiAaPQBOOK9910819221003321Groups with prescribed quotient groups and associated module theory3968091UNINA