Suborbits of m-dimensional totally isotropic subspaces under finite singular classical groups |
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| Authors: | Jun Guo Kaishun Wang |
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| Affiliation: | 1. Math. and Inf. College, Langfang Teachers’ College, Langfang 065000, China;2. Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China |
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| Abstract: | It is well known that the set of all the totally isotropic subspaces with the same dimension in a singular classical space forms an orbit under the action of the corresponding classical group. In this paper, we determine all the orbitals and the rank of this action, and calculate the length of each suborbit. |
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