Conjugacy Classes of Torsion in $4\times 4$ Integral Symplectic Group
Received:February 20, 2006  Revised:March 22, 2007
Key Words: integral symplectic group   torsion   symplectic group space   symplectic direct sum   quasi-direct sum   palindromic monic polynomial   symplectic complement.  
Fund Project:the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.
Author NameAffiliation
YANG Qing-jie School of Information, Renmin University of China, Beijing 100872, China 
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Abstract:
      A complete list of representatives of conjugacy classes of torsion in $4\times 4$ integral symplectic group is given in this paper. There are $55$ distinct such classes and each torsion element has order of $2,3,4,5,6,8,10$ and $12$.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.023
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