%0 Journal Article
%T Normal Form of Skew-symmetric Matrices and Orders of Pseudo-symplectic Groups over Z/2kZ<br>有限局部环Z/2\+kZ上斜对称矩阵标准形和伪辛群的阶
%A Wu Yan
%A <br>吴炎
%J 数学物理学报(A辑)
%D 2004
%I 
%X 设R=Z/2\+kZ(k>1)是2-为非单位的有限局部环. 该文首先确定了R上斜对称矩阵标准形. 设Gm p(R,H)={P∈GL m(R)|PHP'=H}是由矩阵H确定的伪辛群,其中H=(0 I(v) I(v) 0)(+)Δ,Δ=(2-k-1 -1 -1 0). 其次,计算了伪辛群GmP(R,H)的阶|GmP(R,H)|.
%K Finite local rings Z/2~kZ
%K Skew-symmetric matrix
%K Pseudo-symplectic groups<br>有限局部环R=Z／2^kZ
%K 斜对称矩阵
%K 伪辛群
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=50EF1BAC24F549ED&yid=D0E58B75BFD8E51C&vid=E158A972A605785F&iid=B31275AF3241DB2D&sid=FAC9AF09A23B46DD&eid=A1BB529A18D3A83E&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=4