|
|||||
|
|
Loops and the Lagrange Property |
|
| Authors: | Orin Chein Michael K. Kinyon Andrew Rajah Petr VojtĚChovský |
| Affiliation: | 1. Department of Mathematics, Temple University, 1805 N. Broad St., Philadelphia, PA, 19122, USA 2. Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49008-5248, USA 3. School of Mathematical Sciences, Universiti Sains Malaysia, 11800, USM Penang, Malaysia 4. Department of Mathematics, Iowa State University, Ames, IA, 50011, USA |
| Abstract: | Let $cal F$ be a family of finite loops closed under subloops and factor loops. Then every loop in $cal F$ has the strong Lagrange property if and only if every simple loop in $cal F$ has the weak Lagrange property. We exhibit several such families, and indicate how the Lagrange property enters into the problem of existence of finite simple loops. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |