Topics in Factorization of Abelian Groups
(Sprache: Englisch)
The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in...
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The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.
Klappentext zu „Topics in Factorization of Abelian Groups “
The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.
Inhaltsverzeichnis zu „Topics in Factorization of Abelian Groups “
- Preface- 1. Hajós's and Rédei's Theorems
- 2. Elementary Arguments
- 3. The Machinery
- 4. Four Characterization Results
- 5. Applying the Machinery
- 6. Cyclic Prime Component
- 7. p-Groups
- 8. The Hajós Property
- 9. The Rédei Property
- 10. Infinite Groups
- 11. Further Topics
- Appendices
- References
- Index
Bibliographische Angaben
- Autor: S. Szabo
- 2005, 348 Seiten, Maße: 15,5 x 23,5 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3764371587
- ISBN-13: 9783764371586
Sprache:
Englisch
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