Tetrads of lines spanning $\operatorname*{PG}(7,2)$
نویسندگان
چکیده
منابع مشابه
Tetrads of lines spanning PG(7, 2)
Our starting point is a very simple one, namely that of a set L4 of four mutually skew lines in PG(7, 2). Under the natural action of the stabilizer group G(L4) < GL(8, 2) the 255 points of PG(7, 2) fall into four orbits ω1, ω2, ω3, ω4, of respective lengths 12, 54, 108, 81. We show that the 135 points ∈ ω2 ∪ ω4 are the internal points of a hyperbolic quadric H7 determined by L4, and that the 8...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2013
ISSN: 1370-1444
DOI: 10.36045/bbms/1382448192