منابع مشابه
q-ANALOGUES OF EULER’S ODD=DISTINCT THEOREM
Two q-analogues of Euler’s theorem on integer partitions with odd or distinct parts are given. A q-lecture hall theorem is given.
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We present a new method for the study of hemisystems of the Hermitian surface U3 of PG(3, q2). The basic idea is to represent generator-sets of U3 by means of a maximal curve naturally embedded in U3 so that a sufficient condition for the existence of hemisystems may follow from results about maximal curves and their automorphism groups. In this paper we obtain a hemisystem in PG(3, p2) for eac...
متن کاملOn the smallest minimal blocking sets of Q(2n, q), for q an odd prime
We characterize the smallest minimal blocking sets of Q(2n, q), q an odd prime, in terms of ovoids of Q(4, q) and Q(6, q). The proofs of these results are written for q = 3, 5, 7 since for these values it was known that every ovoid of Q(4, q) is an elliptic quadric. Recently, in [2], it has been proven that for all q prime, every ovoid of Q(4, q) is an elliptic quadric. Since as many proofs as ...
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We show that the generalized quadrangle W3(q) for odd q has exponentially many 12(q+1)–ovoids, thus implying that the generalized quadrangle Q(4, q) has exponentially many hemisystems for odd q. For q even, we show that W3(q) has m–ovoids for all integers m, 1 ≤ m ≤ q. Stabilizers are determined, and some computer results are given.
متن کاملA family of ovoids of the Hermitian Surface in PG(3, q) with q ≥ 5 odd
Multiple derivation of the classical ovoid of the Hermitian surface H(3, q) of PG(3, q) is a well known, powerful method for constructing large families of non classical ovoids of H(3, q). In this paper, multiple derivation is generalised and applied to non-classical ovoids. A resulting new family of ovoids is investigated. Mathematics Subject Classification (2000). Primary: 51E20, Secondary: 5...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2016
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2016.01.003