Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics, 257, Band 257) - Softcover

Szabo, Sandor; Sands, Arthur D.

Softcover

ISBN 10: 1420090461 ISBN 13: 9781420090468

Verlag: Chapman and Hall/CRC, 2009

Inhaltsangabe

Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups.

The book first shows how to construct new factorizations from old ones. The authors then discuss nonperiodic and periodic factorizations, quasiperiodicity, and the factoring of periodic subsets. They also examine how tiling plays an important role in number theory. The next several chapters cover factorizations of infinite abelian groups; combinatorics, such as Ramsey numbers, Latin squares, and complex Hadamard matrices; and connections with codes, including variable length codes, error correcting codes, and integer codes. The final chapter deals with several classical problems of Fuchs.

Encompassing many of the main areas of the factorization theory, this book explores problems in which the underlying factored group is cyclic.

Über diesen Titel

Über die Autorin bzw. den Autor

Sandor Szabo, Arthur D. Sands

Details zur Ausgabe

• Verlag: Chapman and Hall/CRC
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 1420090461
• ISBN 13: 9781420090468
• Einband: Taschenbuch
• Anzahl der Seiten: 263
• Kontakt zum Hersteller: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; USA
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