Switching of generalized quadrangles of order s and applications
نویسندگان
چکیده
منابع مشابه
Switching of generalized quadrangles of order s and applications
Let & = (P, £, I) be a generalized quadrangle of order 5, s φ 1, having a flag (x, L) with χ and L regular. Then a generalized quadrangle SP = (Ρ',Β',Ι') of order s can be constructed. We say that &" is obtained by switching from & with respect to (je, L). Examples are given where ¥ £ &'\ e.g., starting from a T2(O) of Tits, with O an oval of PG(2, q), q even, with nucleus «, the GQ T2((O {*}) ...
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A line L of a finite generalized quadrangle S of order ðs; tÞ, s; t > 1, is an axis of symmetry if there is a group of full size s of collineations of S fixing any line which meets L. If S has two non-concurrent axes of symmetry, then S is called a span-symmetric generalized quadrangle. We prove the twenty-year-old conjecture that every span-symmetric generalized quadrangle of order ðs; sÞ is c...
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15 صفحه اولSome notes on generalized quadrangles of order s with a span of regular points
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ژورنال
عنوان ژورنال: advg
سال: 2003
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advg.2003.2003.s1.105