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http://hdl.handle.net/2080/429
Title: | A characterization of ¯nite symplectic polar spaces of odd prime order |
Authors: | Sahoo, B K Narasimha Sastry, N S |
Issue Date: | 2007 |
Publisher: | Elsevier |
Citation: | Journal of Combinational Theory A, Vol 114, Iss 1, P 52-64 |
Abstract: | A su±cient condition for the representation group for a nonabelian representation (De¯nition 1.1) of a ¯nite partial linear space to be a ¯nite p-group is given (Theorem 2.9). We characterize ¯nite symplectic polar spaces of rank r at least two and of odd prime order p as the only ¯nite polar spaces of rank at least two and of prime order admitting nonabelian representations. The representation group of such a polar space is an extraspecial p-group of order p1+2r and of exponent p (Theorems 1.5 and 1.6). |
Description: | copyright for the published version of this article belongs to Elsevier. http://dx.doi.org/10.1016/j.jcta.2006.03.001 |
URI: | http://hdl.handle.net/2080/429 |
Appears in Collections: | Journal Articles |
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