منابع مشابه
On 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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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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متن کاملMinimal blocking sets of size q2+2 of Q(4, q), q an odd prime, do not exist
Consider the finite generalized quadrangle Q(4, q), q odd. An ovoid is a set O of points of Q(4, q) such that every line of the quadric contains exactly one point of O. A blocking set is a set B of points of Q(4, q) such that every line of the quadric contains at least one point of B. A blocking set B is called minimal if for every point p ∈ B, the set B \ {p} is not a blocking set. The GQ Q(4,...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1988
ISSN: 0021-8693
DOI: 10.1016/0021-8693(88)90101-9