| Autor(es): |
Dokuchaev, M. A.
;
Kirichenko, V. V.
;
Zelensky, A. V.
;
Zhuravlev, V. N.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ALGEBRA & DISCRETE MATHEMATICS; v. N/A, n. 1, p. 22-pg., 2005-01-01. |
| Resumo | |
Let A=(a(ij)) be an integral matrix. We say that A is (0,1,2)-matrix if a(ij) is an element of{0,1,2}. There exists the Gorenstein (0,1,2)-matrix for any permutation sigma on the set {1,,n} without fixed elements. For every positive integer n there exists the Gorenstein cyclic (0,1,2)-matrix A(n) such that inx A(n)=2. If a Latin square L-n with a first row and first column (0,1,,n-1) is an exponent matrix, then n=2(m) and L-n is the Cayley table of a direct product of m copies of the cyclic group of order 2. Conversely, the Cayley table epsilon(m) of the elementary abelian group G(m)=(2)XX(2) of order 2(m) is a Latin square and a Gorenstein symmetric matrix with first row (0,1,,2(m)-1) and sigma(epsilon(m))=(123...2m-1 2m 2(m) 2(m)-1 2(m)-2...2 1). (AU) | |
| Processo FAPESP: | 02/05087-2 - Vladimir Kirichenko | University Kiev - Ucrânia |
| Beneficiário: | Mikhailo Dokuchaev |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |