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
Rezensionen / Stimmen
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
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Graduate students and researchers in mathematics.
Illustrationen
14 s/w Abbildungen, 16 s/w Tabellen
14 b/w images and 16 tables
Dateigröße
ISBN-13
978-1-4200-9047-5 (9781420090475)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Introduction. New Factorizations from Old Ones. Nonperiodic Factorizations. Periodic Factorizations. Various Factorizations. Factoring by Many Factors. Group of Integers. Infinite Groups. Combinatorics. Codes. Some Classical Problems. References. Index.
