Abelian groups determined by subgroup lattices of direct powers |
| |
Authors: | Grigore Călugăreanu |
| |
Institution: | (1) Dept. of Mathematics and Computer Science, Faculty of Science, Kuwait University, Kuwait city, Kuwait |
| |
Abstract: | In this short note, we showthat the class of abelian groups determined by the subgroup lattice of their direct n-powers is exactly the class of the abelian groups which share the n-root property. As applications we answer in the negative a (semi)conjecture of Pálfy and solve a more general problem.
Received: 24 February 2005 |
| |
Keywords: | 20K27 20D30 06B25 |
本文献已被 SpringerLink 等数据库收录! |
|