Introduction
New Factorizations from Old Ones
Restriction
Factorization
Homomorphism
Constructions
Nonperiodic Factorizations
Bad factorizations
Characters
Replacement
Periodic Factorizations
Good factorizations
Good groups
Krasner factorizations
Various Factorizations
The Rédei property
Quasiperiodicity
Factoring by Many Factors
Factoring periodic subsets
Simulated subsets
Group of Integers
Sum sets of integers
Direct factor subsets
Tiling the integers
Infinite Groups
Cyclic subgroups
Special p-components
Combinatorics
Complete maps
Ramsey numbers
Near factorizations
A family of random graphs
Complex Hadamard matrices
Codes
Variable length codes
Error correcting codes
Tilings
Integer codes
Some Classical Problems
Fuchs’s problems
Full-rank factorizations
Z-subsets
References
Index
Biography
Sandor Szabo, Arthur D. Sands
The book under review was written by two leading experts in this field.… The exposition is clear and detailed—it is enriched with examples and exercises—making the book, as envisioned by the authors, readily accessible to non-experts in the field.
—Mathematical Reviews, Issue 2010h
