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Exercises in Abelian Group Theory

  • Grigore Călugăreanu
  • Simion Breaz
  • Ciprian Modoi
  • Cosmin Pelea
  • Dumitru Vălcan

Part of the Springer Texts in the Mathematical Sciences book series (TMS, volume 25)

Table of contents

  1. Front Matter
    Pages N1-xii
  2. Statements

    1. Front Matter
      Pages 1-1
    2. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 3-19
    3. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 21-28
    4. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 29-38
    5. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 39-48
    6. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 49-54
    7. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 55-69
    8. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 71-83
    9. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 85-94
    10. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 95-104
    11. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 105-110
  3. Solutions

    1. Front Matter
      Pages 111-111
    2. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 113-142
    3. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 143-161
    4. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 163-190
    5. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 191-210
    6. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 211-215
    7. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 217-237
    8. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 239-260
    9. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 261-293
    10. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 295-317
    11. Grigore Călugăreanu, Simion Breaz, Ciprian Modoi, Cosmin Pelea, Dumitru Vălcan
      Pages 319-332
  4. Back Matter
    Pages 333-351

About this book

Introduction

This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac­ ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu­ dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac­ ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap.

Keywords

Abelian group Group theory Lattice algebra topological group

Authors and affiliations

  • Grigore Călugăreanu
    • 1
    • 2
  • Simion Breaz
    • 1
  • Ciprian Modoi
    • 1
  • Cosmin Pelea
    • 1
  • Dumitru Vălcan
    • 1
  1. 1.‘Babeş Bolyai’ UniversityCluj-NapocaRomania
  2. 2.Kuwait UniversityState of Kuwait

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0339-0
  • Copyright Information Springer Science+Business Media Dordrecht 2003
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6249-9
  • Online ISBN 978-94-017-0339-0
  • Series Print ISSN 0927-4529
  • Buy this book on publisher's site