Výsledky vyhledávání - "Oliver H. King"

Hyperovals arising from a Singer group action on H(3,q2)$\mathcal{H}(3, q^2)$, q even

Autor: Antonio Cossidente, Giuseppe Marino, Oliver H. King

Publikováno v: Advances in Geometry. 16:481-486

The action of a Singer cyclic group of order q 2 + 1 on the Hermitian surface H ( 3 , q 2 ) $\mathcal{H}(3, q^2)$ , q even, is investigated. Infinite families of hyperovals of size 2(q 2 + 1), q even, are then constructed.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4720747921657f8162936a424dfd8ce
https://doi.org/10.1515/advgeom-2016-0021

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Hyperovals ofH(3,q2)when q is even

Autor: Giuseppe Marino, Oliver H. King, Antonio Cossidente

Publikováno v: Journal of Combinatorial Theory, Series A. 120:1131-1140

For even q, a group G isomorphic to PSL ( 2 , q ) stabilizes a Baer conic inside a symplectic subquadrangle W ( 3 , q ) of H ( 3 , q 2 ) . In this paper the action of G on points and lines of H ( 3 , q 2 ) is investigated. A construction is given of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a0f06647f0e55b353e2cc8b48b06144b
https://doi.org/10.1016/j.jcta.2013.03.003

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On the K-theory of boundaryC*-algebras of Ã2groups

Autor: Oliver H. King, Guyan Robertson

Publikováno v: Journal of K-theory. 9:521-536

Let Γ be an Ã2subgroup of PGL3(), whereis a local field with residue field of orderq. The module of coinvariantsC(,ℤ)Γis shown to be finite, whereis the projective plane over. If the group Γ is of Tits type and ifq≢ 1 (mod 3) then the exact v

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::661ef67b25052ecb936e4c7af37a915d
https://doi.org/10.1017/is011005004jkt158

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Blocking sets of H(n,q2) with respect to generators

Autor: Oliver H. King, Antonio Cossidente

Publikováno v: Journal of Combinatorial Theory, Series A. 118:1212-1217

We construct minimal blocking sets with respect to generators on the Hermitian surfaces H(n,q^2) when n and q are both odd. A blocking set arises from q+1 quadrics in PG(n,q^2) whose polarities commute with a unitary polarity, constructed from the un

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cd89495d3faebc8904983939093750db
https://doi.org/10.1016/j.jcta.2010.12.008

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On a family of minimal blocking sets of the Hermitian surface

Autor: Antonio Cossidente, Oliver H. King

Publikováno v: Journal of Combinatorial Designs. 19:313-316

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ddfd26d9b138f9937cc574f770b3c811
https://doi.org/10.1002/jcd.20279

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Some two-character sets

Autor: Antonio Cossidente, Oliver H. King

Publikováno v: Designs, Codes and Cryptography. 56:105-113

Some new examples of two-character sets with respect to planes of PG(3, q 2), q odd, are constructed. They arise from three-dimensional hyperbolic quadrics, from the geometry of an orthogonal polarity commuting with a unitary polarity. The last examp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9465b5813242b48187425db0574b0339
https://doi.org/10.1007/s10623-010-9394-8

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On twisted tensor product group embeddings and the spin representation of symplectic groups

Autor: Antonio Cossidente, Oliver H. King

Publikováno v: advg. 7:55-64

We describe an alternative perspective for at least some of the subgroups in Aschbacher's class C 9. Then we show that under the twisted tensor product embedding of the groups PSp2(q t ) and PSp4(q t ) in orthogonal groups over GF(q), t ≥ 3, q ≥

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::803155f5d17046afc4fce63bfb53de32
https://doi.org/10.1515/advgeom.2007.004

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Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Autor: Oliver H. King, Antonio Cossidente

Publikováno v: Communications in Algebra. 34:4291-4309

We prove that, for q odd and n ≥ 3, the group G = O n (q 2) · 2 is maximal in either the orthogonal group O 2n (q) or the special orthogonal group SO 2n (q). The group G corresponds to the stabilizer of a spread of lines of PG(2n − 1, q) in whic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d44d75f135032436e2feeb40933296c6
https://doi.org/10.1080/00927870600878025

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Special sets of the Hermitian surface and Segre invariants

Autor: Giuseppe Marino, Antonio Cossidente, Oliver H. King

Publikováno v: European Journal of Combinatorics. 27(5):629-634

A characterization of certain elliptic quadrics Q−(3,q) embedded in the Hermitian surface of PG(3,q2), q odd, as special sets (after E.E. Shult [Problems by the wayside, 2003 (preprint)]) in terms of Segre invariants, is given.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02bb64061a9cc01364e489a13d81f4dd

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On Some Maximal Subgroups of Unitary Groups

Autor: Antonio Cossidente, Oliver H. King

Publikováno v: Communications in Algebra. 32:989-995

The maximality of certain symplectic subgroups of unitary groups PS U n (K), n ≥ 4, (K any field admitting a non-trivial involutory automorphism) belonging to the class 𝒞5 of Aschbacher is proved. Furthermore some related geometry in the case n

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::00fd02e1ebaa2f5fecbe1fe8609728ad
https://doi.org/10.1081/agb-120027962

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