Translation groups of Steiner loops |
| |
| Authors: | Karl Strambach Izabella Stuhl |
| |
| Affiliation: | a Department Mathematik der Universität Erlangen-Nürnberg, Bismarckstr. 112 91054 Erlangen, Germany
b Institute of Mathematics University of Debrecen, 4010 Debrecen, Hungary |
| |
| Abstract: | If the order of any product of two different translations of a finite Steiner quasigroup of size n>3 is odd, then the group G generated by the translations of the corresponding Steiner loop of order n+1 contains the alternating group of degree n+1. |
| |
| Keywords: | Steiner triple system Steiner loop Translation group |
| 本文献已被 ScienceDirect 等数据库收录！ |
