𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A type of factorization of finite Abelian groups

✍ Scribed by Sándor Szabó


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
188 KB
Volume
54
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Spectral Sets and Factorizations of Fini
✍ Jeffrey C Lagarias; Yang Wang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 439 KB

A spectral set is a subset 0 of R n with Lebesgue measure 0<+(0)< such that there exists a set 4 of exponential functions which form an orthogonal basis of L 2 (0). The spectral set conjecture of B. Fuglede states that a set 0 is a spectral set if and only if 0 tiles R n by translation. We study set

A Combinatorial Problem on Finite Abelia
✍ W.D. Gao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 186 KB

In this paper the following theorem is proved. Let G be a finite Abelian group of order n. Then, n+D(G )&1 is the least integer m with the property that for any sequence of m elements a 1 , ..., a m in G, 0 can be written in the form 0= a 1 + } } } +a in with 1 i 1 < } } } <i n m, where D(G) is the

A generalized notion of quotient for fin
✍ G.L. O'brien 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 271 KB

A finite Abelian group G is partitioned into subsets which are translations of each othtr. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic.