Factoring Groups into Subsets

1st Edition

Sandor Szabo, Arthur D. Sands

Chapman and Hall/CRC
Published January 21, 2009
Reference - 274 Pages - 14 B/W Illustrations
ISBN 9781420090468 - CAT# C9046
Series: Lecture Notes in Pure and Applied Mathematics

For Instructors Request Inspection Copy

was $245.00

USD$196.00

SAVE ~$49.00

Add to Wish List
FREE Standard Shipping!

Summary

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.

Instructors

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.

Request an
e-inspection copy

Share this Title