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Existence and Non-existence ofm-systems of Polar Spaces

✍ Scribed by Nicholas Hamilton; Rudolf Mathon

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 115 KB
Volume: 22
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2000.0417

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✦ Synopsis

In this paper, the m-systems of the finite polar spaces 2n + 1, 2) andQ(2n + 2, 2) are classified for n = 1, 2, 3 and4. As a consequence of this, symplectic translation planes of order 32 are classified, and some maximal arcs in these planes are constructed. Improvements of previous non-existence results on m-systems of W 2n+1 (q), Q -(2n + 1, q) and H (2n, q 2 ) are also obtained.

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