伪辛群作用下子空间轨道生成的格的同构条件  

The isomorphic conditions of some lattices generated by transitive sets of subspaces under finite pseudo-symplectic groups

作　　者：谢中根[1] 

机构地区：[1]安徽理工大学基础部,安徽淮南232007

出　　处：《合肥工业大学学报（自然科学版）》2004年第5期564-566,共3页Journal of Hefei University of Technology：Natural Science

摘　　要：文章讨论了伪辛群作用下子空间轨道生成的格的同构条件。首先给出3个引理,说明格L(m,2s+1,s,1;2υ+1)和L(m,2s,s,1;2υ+2)与L(m-1,s;2υ)同构。进而进行推广,得出了格L(m,2s,s,1;2υ+2)与格L(m,2s+1,s,1;2υ+1)的同构条件。The isomorphic conditions of some lattices generated by transitive sets of subspace under finite pseudo-symplectic groups are discussed. At first,three lemmas are introduced and proved,and it is obtained that L(m,2s+1,s,1;2υ+1) and L(m-1,s;2υ) are isomorphic,and L(m,2s,s,1;2υ+2) and L(m-1,s;2υ) are isomorphic. Then the isomorphic theorem of L(m,2s+1,s,1;2υ+1) and L(m,2s,s,1;2υ+2) is proved.

关 键 词：伪辛群 子空间轨道 格 同构条件 

分 类 号：O152.8[理学—数学]