Softcover ISBN:  9780821816752 
Product Code:  CBMS/25 
List Price:  $33.00 
Individual Price:  $26.40 
eBook ISBN:  9781470423858 
Product Code:  CBMS/25.E 
List Price:  $31.00 
Individual Price:  $24.80 
Softcover ISBN:  9780821816752 
eBook: ISBN:  9781470423858 
Product Code:  CBMS/25.B 
List Price:  $64.00 $48.50 
Softcover ISBN:  9780821816752 
Product Code:  CBMS/25 
List Price:  $33.00 
Individual Price:  $26.40 
eBook ISBN:  9781470423858 
Product Code:  CBMS/25.E 
List Price:  $31.00 
Individual Price:  $24.80 
Softcover ISBN:  9780821816752 
eBook ISBN:  9781470423858 
Product Code:  CBMS/25.B 
List Price:  $64.00 $48.50 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 25; 1976; 84 ppMSC: Primary 20
This book reproduces a course of ten lectures given by the author, Karl W. Gruenberg, at the NSF Regional Conference at the University of WisconsinParkside in July 1974. The aim of the lectures was twofold: to show group theorists how the presentation theory of finite groups can nowadays be successfully approached with the help of integral representation theory, and to persuade ring theorists that here was an area of group theory well suited to applications of integral representation theory. The course was constructed so that only a modicum of either group theory or module theory would be presupposed of the audience. He has also drawn on lectures that he gave at the Australian Summer Research Institute held at the University of Sydney in 1971 and at the Australian National University at Canberra in 1974.
Readership 
Table of Contents

Chapters

Lecture 1. Introduction

Lecture 2. The Gaschütz theory

Lecture 3. Module theoretic preliminaries

Lecture 4. Projective modules

Lecture 5. Relation cores

Lecture 6. The presentation rank

Lecture 7. Swan modules

Lecture 8. Heller modules

Lecture 9. Decomposition of relation cores

Lecture 10. Epilogue


Reviews

An excellent account of the theory of the relation modules of finite groups.
M. J. Dunwoody, Mathematical Reviews


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This book reproduces a course of ten lectures given by the author, Karl W. Gruenberg, at the NSF Regional Conference at the University of WisconsinParkside in July 1974. The aim of the lectures was twofold: to show group theorists how the presentation theory of finite groups can nowadays be successfully approached with the help of integral representation theory, and to persuade ring theorists that here was an area of group theory well suited to applications of integral representation theory. The course was constructed so that only a modicum of either group theory or module theory would be presupposed of the audience. He has also drawn on lectures that he gave at the Australian Summer Research Institute held at the University of Sydney in 1971 and at the Australian National University at Canberra in 1974.

Chapters

Lecture 1. Introduction

Lecture 2. The Gaschütz theory

Lecture 3. Module theoretic preliminaries

Lecture 4. Projective modules

Lecture 5. Relation cores

Lecture 6. The presentation rank

Lecture 7. Swan modules

Lecture 8. Heller modules

Lecture 9. Decomposition of relation cores

Lecture 10. Epilogue

An excellent account of the theory of the relation modules of finite groups.
M. J. Dunwoody, Mathematical Reviews