{"product_id":"factoring-groups-into-subsets-sandor-szabo-9781420090468","title":"Factoring Groups into Subsets","description":"\u003cp\u003eDecomposing 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, \u003cstrong\u003eFactoring Groups into Subsets\u003c\/strong\u003e explores the factorization theory of abelian groups. \u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eEncompassing many of the main areas of the factorization theory, this book explores problems in which the underlying factored group is cyclic. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sandor Szabo,Arthur D. Sands\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1420090461\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781420090468\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/01\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 286\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.70d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 06\/01\/2009 pg. 29","brand":"Sandor Szabo","offers":[{"title":"Paperback","offer_id":48088207163647,"sku":"9781420090468","price":290.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f43d79ba-d170-4705-9261-af0c7968bc84.jpg?v=1769103648","url":"https:\/\/www.whiterainbookhouse.com\/products\/factoring-groups-into-subsets-sandor-szabo-9781420090468","provider":"WR Book House","version":"1.0","type":"link"}