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 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
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📜 SIMILAR VOLUMES
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 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.