Zobrazeno 1 - 10
of 12
pro vyhledávání: '"K. L. Wantz"'
Publikováno v:
Journal of Geometry. 107:119-123
A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). The minimum size of a blockin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26f977888e4a844e1f8ebf5d658df2a5
https://doi.org/10.1007/s00022-015-0278-y
https://doi.org/10.1007/s00022-015-0278-y
Publikováno v:
advg. 13:29-40
A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). Sz˝onyi investigated an infi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4996f9dc18fa4430d94905fe58711f3
https://doi.org/10.1515/advgeom-2012-0025
https://doi.org/10.1515/advgeom-2012-0025
Publikováno v:
Finite Fields and Their Applications. 18:946-955
A cap in a projective or affine geometry is a set of points with the property that no line meets the set in more than two points. Barwick et al. [S.G. Barwick, W.-A. Jackson, C.T. Quinn, Conics and caps, J. Geom. 100 (2011) 15–28] provide a constru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f23b152e1d17f5ab4b38a17ec53870fe
https://doi.org/10.1016/j.ffa.2012.05.006
https://doi.org/10.1016/j.ffa.2012.05.006
Publikováno v:
Designs, Codes and Cryptography. 55:261-283
In this paper we develop general techniques for enumerating orthogonal Buekenhout unitals embedded in two-dimensional translation planes. We then apply these techniques in the regular nearfield planes, the odd-order Hall planes, and the odd-order fla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4bff321a1284f2ed323d30f1bc0ae5f
https://doi.org/10.1007/s10623-009-9330-y
https://doi.org/10.1007/s10623-009-9330-y
Autor:
K. L. Wantz
Publikováno v:
Journal of Geometry. 88:169-177
Classes of parabolic unitals in the regular nearfield planes of odd square order are enumerated and classified. These unitals correspond to certain Buekenhout-Metz unitals in the classical plane. Their collineation groups are determined and the unita
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7567118493259008b4bf15999b52a40f
https://doi.org/10.1007/s00022-007-2021-9
https://doi.org/10.1007/s00022-007-2021-9
Autor:
R. D. Baker, K. L. Wantz
Publikováno v:
Journal of Combinatorial Designs. 12:35-38
A coding-theoretic characterization of a unital in the Hughes plane is provided, based on and extending the work of Blokhuis, Brouwer, and Wilbrink in PG(2,q2). It is shown that a Frobenius-invariant unital is contained in the p-code of the Hughes pl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4bb4971eda11a2f74415fb028850368c
https://doi.org/10.1002/jcd.10065
https://doi.org/10.1002/jcd.10065
Publikováno v:
Journal of Geometry. 67:23-34
For any odd integern ≥3 and prime powerq, it is known thatPG(n−1, q2) can be partitioned into pairwise disjoint subgeometries isomorphic toPG(n−1, q) by taking point orbits under an appropriate subgroup of a Singer cycle ofPG(n−1, q2). In thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fdbc4f76fe0da7e384706835fbec786
https://doi.org/10.1007/bf01220294
https://doi.org/10.1007/bf01220294
Publikováno v:
Designs, Codes and Cryptography. 21:19-39
The classification of perfect Baer subplane partitions of { PG}(2, q^2) is equivalent to the classification of 3-dimensional flag-transitive planes whose translation complements contain a linear cyclic group acting regularly on the line at infinity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca8ad4b81bdcfa26f8f86ceb51f34d02
https://doi.org/10.1023/a:1008319107762
https://doi.org/10.1023/a:1008319107762
Publikováno v:
European Journal of Combinatorics. 20(1):1-16
A hyperbolic fibration is set ofq−1 hyperbolic quadrics and two lines which together partition the points ofPG(3,q). The classical example of a hyperbolic fibration comes from a pencil of quadrics; however, several other families are known. In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e9337fc424f879ee0ebd9618e7e7897
Autor:
K. L. Wantz
Publikováno v:
Geometriae Dedicata. 70:125-138
A new class of unitals in the Hughes planes is enumerated and classified. The unital obtained by L. A. Rosati is shown to be a member of this class. Their collineation groups are determined and the unitals are sorted by projective equivalence. The du
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d7777a28c0bcb6f48c00b3e474efef7
https://doi.org/10.1023/a:1004916221428
https://doi.org/10.1023/a:1004916221428