| GF（2）—modules for Sz（q）wrCt |
| |
| 引用本文： | 王秀琴,熊胜利.GF（2）—modules for Sz（q）wrCt[J].数学季刊,1997,12(4):87-90. |
| |
| 作者姓名： | 王秀琴 熊胜利 |
| |
| 作者单位： | Wang Xiuqin (Department of Mathematics，Henan Univerfory，Kaifeng，475001)Xiong Shengli (Department of Mathematics，Zhengzhou University，Zhengzhou，450052) |
| |
| 摘 要： | LetVbeavectorspaceoverfieldK=GF(q),whereq=2",nodd.ThethereexistsinGL(V)somesubgroupH,whichisisomorphictoSz(q),andtheactionofHonVderivessomeirreduciblemodulestructureforH-LetF=GF(2),thenVcanbeseenasanFH-mod-ule,Vremainsirreducible,andVissaidtobeanaturalFH-module.Thenotionofnaturalmodule'forSz(q)canbegeneralizedtothewrethproductSz(q)wed(thedefinitionforthewreathproduct,seeLlj'9'l9),Thenotationsandterminol-ogyinthispaper'exceptforfewexceptions,areeitherstandardoeasiluaccessiblefromL2j'…
|
| 关 键 词： | GF（2）模 不可约模 圈积 |
GF(2) -modules for Sz (q) wrC_t |
| |
| Wang Xiuqin.GF(2) -modules for Sz (q) wrC_t[J].Chinese Quarterly Journal of Mathematics,1997,12(4):87-90. |
| |
| Authors: | Wang Xiuqin |
| |
| Institution: | [1]Department [2]of |
| |
| Abstract: | In this note the authors investigates the property of the GF(2)-modules for the wreath products Sz(q)wrCt,and establish some sufficient condition for a Sz(q)wrCt, GF(2)-module to be natural. |
| |
| Keywords: | wreath product natural module chief factor irreducible module |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
