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. Th

chapter 1|10 pages


chapter 2|26 pages

New factorizations from old ones

chapter 3|26 pages

Non-periodic factorizations

chapter 4|30 pages

Periodic factorizations

chapter 5|28 pages

Various factorizations

chapter 6|20 pages

Factoring by many factors

chapter 7|20 pages

Group of integers

chapter 8|22 pages

Infinite groups

chapter 9|24 pages


chapter 10|28 pages


chapter 11|18 pages

Some classical problems