Topics in Factorization of Abelian Groups

Szabo Sandor

ISBN 10: 3764371587 / ISBN 13: 9783764371586

Editore: Springer, 2004

Riguardo questo articolo

pp. vi + 344.

Codice articolo 7543314

Dati bibliografici

• Titolo: Topics in Factorization of Abelian Groups
• Editore: Springer
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 3764371587
• ISBN 13: 9783764371586
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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