منابع مشابه
A note on Clifford parallelisms in characteristic two
It is well known that a purely inseparable field extension L/F with some extra property and degree [L : F] = 4 determines a Clifford parallelism on the set of lines of the three-dimensional projective space over F. By extending the ground field of this space from F to L, we establish the following geometric description of such a parallelism in terms of a distinguished ‘absolute pencil of lines’...
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In this paper, we consider the following question. What is the maximum number of pairwise disjoint k-spreads that exist in PG(n, q)? We prove that if k + 1 divides n + 1 and n > k then there exist at least two disjoint k-spreads in PG(n, q) and there exist at least 2k+1 − 1 pairwise disjoint k-spreads in PG(n, 2). We also extend the known results on parallelism in a projective geometry from whi...
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ژورنال
عنوان ژورنال: Journal of Geometry
سال: 2018
ISSN: 0047-2468,1420-8997
DOI: 10.1007/s00022-018-0456-9