严格单纯Mendelsohn三元系的嵌入

Embeddings of Pure Mendelsohn Triple Systems

本文证明了任一 v 阶严格单纯 Medelsohn 三元系 MTS(v)可嵌入于某个 u 阶严格单纯 Mendelsohn 三元系 MTS(u)的充分必要条件为;u,v≡0或1(mod3) ,u≥2v+1,v≥4且v≠6.

It is proved in this paper that,the necessary and sufficient conditions for the embedding of a pure Mendelsohn triple system of order v in a pure Men-delsohn triple system of order u are u,v≡0 or 1(mod3) ,u≥2v+1,u≥4 and v≠6.