Group Partitions and Mixed Perfect Codes
- 1 April 1975
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 18 (1) , 57-60
- https://doi.org/10.4153/cmb-1975-011-2
Abstract
Let G be a finite abelian group of the order pr and type (p, …, p), where p is a prime. A necessary and sufficient condition is determined for the existence of subgroups G1, G2, ⋯, Gn, one of the order pa and the rest of the order pb, such that G = G1 ∪ G2 ∪ ⋯ ∪ Gn and Gi, ∩ Gj,= {θ} when i ≠ j.Keywords
This publication has 1 reference indexed in Scilit:
- Group Partition, Factorization and the Vector Covering ProblemCanadian Mathematical Bulletin, 1972