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Study Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)

Posted on 2010-03-16




Name:Study Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)
ASIN/ISBN:1420090461
Language:English
File size:1.3 Mb
Language: English
Publish Date: 2009-01-21
ISBN: 1420090461
Pages: 274 pages
File Type: PDF
File Size: 1,3 MB
Other Info: Chapman & Hall/CRC
   Study Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)

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Sandor Szabo, Arthur D. Sands "Factoring Groups into Subsets (Lecture Notes in Pure and Applied Mathematics)"

Focusing mainly on cyclic groups, this book explores the factorization theory of abelian groups. It 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.

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