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9789810247836

Groups With Prescribed Quotient Groups and Associated Module Theory

by ; ; ;
  • ISBN13:

    9789810247836

  • ISBN10:

    9810247834

  • Format: Hardcover
  • Copyright: 2002-03-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Summary

Presents 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 group problems.

Table of Contents

Preface
Notation
Simple Modules
On Annihilators of Modulesp. 3
The Structure of Simple Modules over Abelian Groupsp. 17
The Structure of Simple Modules over Some Generalization of Abelian Groupsp. 25
Complements of Simple Submodulesp. 39
Just Infinite Modules
Some Results on Modules over Dedekind Domainsp. 47
Just Infinite Modules over FC-Hypercentral Groupsp. 61
Just Infinite Modules over Groups of Finite 0-Rankp. 77
Just Infinite Modules over Polycyclic-by-Finite Groupsp. 91
Co-Layer-Finite Modules over Dedekind Domainsp. 101
Just Non-x-Groups
The Fitting Subgroup of Some Just Non-x-Groupsp. 109
Just Non-Abelain Groupsp. 115
Just Non-Hypercentral Groups and Just Non-Hypercentral Modulesp. 121
Groups with Many Nilpotent Factor-Groupsp. 131
Groups with Proper Periodic Factor-Groupsp. 143
Just Non-(Polycyclic-by-Finite) Groupsp. 155
Just Non-CC-Groups and Related Classesp. 165
Groups Whose Proper Factor-Groups Have a Transitive Normality Relationp. 181
Bibliographyp. 203
Author Indexp. 221
Subject Indexp. 225
Table of Contents provided by Blackwell. All Rights Reserved.

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