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Journal of Applied Mathematics
Volume 2013, Article ID 732808, 7 pages
Research Article

Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups

College of Science, Civil Aviation University of China, Tianjin 300300, China

Received 29 September 2012; Revised 18 November 2012; Accepted 21 November 2012

Academic Editor: P. G. L. Leach

Copyright © 2013 Xuemei Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the paper titled “Lattices generated by two orbits of subspaces under finite classical group” by Wang and Guo. The subspaces in the lattices are characterized and the geometricity is classified. In this paper, the result above is generalized to singular symplectic space. This paper characterizes the subspaces in these lattices, classifies their geometricity, and computes their characteristic polynomials.