Groups With Prescribed Quotient Groups And Associated Module Theory

Groups With Prescribed Quotient Groups And Associated Module Theory

AngličtinaPevná väzba
Subbotin Igor Ya
World Scientific Publishing Co Pte Ltd
EAN: 9789810247836
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Podrobné informácie

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 group problems. Evidently, this approach requires investigation of some specific types of modules: infinite simple modules and just infinite modules (note that every infinite noetherian module has either an infinite simple factor-module or a just infinite factor-module). This book will therefore be useful for group theorists as well as ring and module theorists. Also, the level, style, and presentation make the book easily accessible to graduate students.
EAN 9789810247836
ISBN 9810247834
Typ produktu Pevná väzba
Vydavateľ World Scientific Publishing Co Pte Ltd
Dátum vydania 1. februára 2002
Stránky 244
Jazyk English
Krajina Singapore
Čitatelia Professional & Scholarly
Autori Subbotin Igor Ya
Séria Series In Algebra