Name
Abstract | ||
|---|---|---|
The problem of determining which abelian groups admit a full-rank normalized factorization is settled for the orders 64 = 2(6), 81 = 3(4), and 128 = 2(7). By a computer-aided approach, it is shown that such groups of these orders are exactly those of type (2(2), 2(2), 2(2)), (2(2), 2(2), 2, 2), (2(3), 2(2), 2(2)), (2(3), 2(2), 2, 2), (2(2), 2(2), 2(2), 2), and (2(2), 2(2), 2, 2, 2). |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1142/S0218196708004743 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
factorization of finite abelian groups, periodic factorization, full-rank factorization | Discrete mathematics,Abelian group,Combinatorics,Congruence of squares,Algebra,Elementary abelian group,Factorization,Dixon's factorization method,Rank of an abelian group,Mathematics,Factorization of polynomials,Quadratic sieve | Journal |
Volume | Issue | ISSN |
18 | 6 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Harri Haanpää | 1 | 33 | 6.37 |
| Patric R. J. Östergård | 2 | 609 | 70.61 |
| Sándor Szabó | 3 | 10 | 5.11 |