Locally subquadrangular hyperplanes in symplectic and Hermitian dual polar spaces
نویسنده
چکیده
In [11] all locally subquadrangular hyperplanes of finite symplectic and Hermitian dual polar spaces were determined with the aid of counting arguments and divisibility properties of integers. In the present note we extend this classification to the infinite case. We prove that symplectic dual polar spaces and certain Hermitian dual polar spaces cannot have locally subquadrangular hyperplanes if their rank is at least three and if their lines contain more than three points.
منابع مشابه
On a Class of Hyperplanes of the Symplectic and Hermitian Dual Polar Spaces
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 31 شماره
صفحات -
تاریخ انتشار 2010