1,721,091 research outputs found
Intriguing sets of W(5, q), q even
No full textInfinite families of (q + 1)-ovoids and (q2 + 1)-tight sets of the symplectic polar space W(5,q), q even, are constructed. The (q + 1)-ovoids arise from relative hemisystems of the Hermitian surface H(3,q2) and from certain orbits of the Suzuki group Sz(q) in his projective 4-dimensional representation. The tight sets are closely related to the geometry of an ovoid of W(3,q). Other constructions of sporadic intriguing sets are also given
Sets of even type on H (5, q 2), q even
No full textA construction of a set of type (0,2,q,q2-q) with respect to subgenerators of H(5,q2), q even, is given, generalizing the 126-hyperoval of H(5,4)
On (0, alpha)-sets of generalized quadrangles
No full textSeveral infinite families of (0,α)-sets, α≥1, of finite classical and non-classical generalized quadrangles are constructed. When α=1 a (0,α)-set of a generalized quadrangle is a partial ovoid. We construct a maximal partial ovoid of H(4,q2), for any q, of size 2q3+q2+1, which generalizes the unique largest partial ovoid of H(4,4) of size 21 found in [11], and a maximal partial ovoid of Q-(5,q) of size (q+1)2, for any q. A tight set of a GQ(q-1,q+1) is also provided
New infinite families of hyperovals on H(3,q2),q odd
No full textTwonewinfinitefamiliesofhyperovalsonthegeneralizedquadrangleH(3,q2),q odd, are constructed
On the intersection of a Hermitian surface with an elliptic quadric
No full textWe investigate the intersection between the generalized quadrangle arising from a Hermitian surface H(3, q2) and an elliptic quadric Q-(3, q2) of PG(3, q2). In odd characteristic we determine the possible intersection sizes between H(3, q2) and Q-(3, q2) under the hypothesis that they share the same tangent plane at a common point. When the characteristic is even, we determine the configuration arising from the intersection of H(3, q2) and Q-(3, q2), provided that the generators of H(3, q2) that are tangents with respect to Q-(3, q2) are the extended lines of a symplectic generalized quadrangle W(3, q) embedded in H(3, q2). As a by-product, new infinite families of hyperovals on H(3, q2) are constructe
Hyperoval constructions on the Hermitian surface
No full textNew infinite families of hyperovals of the generalized quadrangle H(3,q(2)) are provided. They arise in different geometric contexts. More precisely, we construct hyperovals by means of certain subsets of the projective plane called here k-tangent arcs with respect to a Hermitian curve (Section 2), hyperovals arising from the geometry of an orthogonal polarity commuting with a unitary polarity (Section 3), hyperovals admitting the irreducible linear group PSL(2, 7) as a subgroup of PGU(3, q(2)), q = p(h), p equivalent to 3,5 or 6 (mod 7) and h an odd integer (Section 4). Finally we construct hyperovals by means of the embedding of PSp(4, q) < PGU(4, q2) as a subfield subgroup (Section 5)
Blocking sets of Hermitian generalized quadrangles
No full textSome infinite families of minimal blocking sets on Hermitian generalized quadrangles are constructed
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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