Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Stanley E. Payne"'
Autor:
Stanley E. Payne, Morgan Rodgers
Publikováno v:
Designs, Codes and Cryptography. 72:265-271
In classical projective geometry, a double six of lines consists of 12 lines l 1, l 2, . . . , l 6, m 1, m 2, . . . , m 6 such that the l i are pairwise skew, the m i are pairwise skew, and l i meets m j if and only if i ? j. In the 1960s Hirschfeld
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a95ab0788cbd920f1b0b70091f2c33d0
https://doi.org/10.1007/s10623-012-9761-8
https://doi.org/10.1007/s10623-012-9761-8
Autor:
Joseph A. Thas, Stanley E. Payne
Publikováno v:
Designs, Codes and Cryptography. 64:93-103
We collect some known facts about a self-dual generalized quadrangle (GQ) and consider especially the number of absolute points of a duality. The only known finite self-dual GQs are the $${T_2(\mathcal O)}$$ constructed by J. Tits where $${\mathcal O
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74906049b02133a21dc254321ca058a5
https://doi.org/10.1007/s10623-011-9531-z
https://doi.org/10.1007/s10623-011-9531-z
Publikováno v:
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial. 6:111-126
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::631d37d8881cc42d603dfc59e8817709
https://doi.org/10.2140/iig.2008.6.111
https://doi.org/10.2140/iig.2008.6.111
Autor:
Koen Thas, Stanley E. Payne
Publikováno v:
European Journal of Combinatorics. 27:51-62
In these notes we are interested in the following fundamental question: “Given a thick generalized quadrangle S(x) with elation point (respectively center of transitivity) x, when does the set of all elations about x form a group?”. It was the ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c6cbd4ebace4d360e8c06d22d18de4e
https://doi.org/10.1016/j.ejc.2004.08.001
https://doi.org/10.1016/j.ejc.2004.08.001
Autor:
Stanley E. Payne, Joseph A. Thas
Publikováno v:
Discrete Mathematics. 294:161-173
Cherowitzo, O’Keefe and Penttila discovered a new family of q-clans, q even, and they gave the name Adelaide to all the new associated geometries, i.e., the generalized quadrangles, the flocks of the quadratic cone, the ovals, etc.Their computation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b59aa6b128e8c117a768be06181b2a
https://doi.org/10.1016/j.disc.2004.04.045
https://doi.org/10.1016/j.disc.2004.04.045
Publikováno v:
Designs, Codes and Cryptography. 31:251-282
We establish a representation of a spread of the generalized quadrangle T2(0), o an oval of PG(2, q), q even, in terms of a certain family of q ovals of PG(2, q) and investigate the properties of this representation. Using this representation we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a6b74fc17472acf14b47fe4e9cfa84a
https://doi.org/10.1023/b:desi.0000015887.35146.14
https://doi.org/10.1023/b:desi.0000015887.35146.14
Autor:
Stanley E. Payne, Koen Thas
Publikováno v:
European Journal of Combinatorics. 24(8):969-981
Let S be a finite generalized quadrangle of order (s,t),s,t>1. An “elation about a point p” of S is an automorphism fixing p linewise and fixing no point which is not collinear with p. An elation that generates a cyclic group of elations is calle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::715d5b7292a5692ab17aa25e3cfa9448
Autor:
Laura Bader, Stanley E. Payne
Publikováno v:
Journal of Geometry. 63:1-16
We discuss infinite elation generalized quadrangles as group coset geometries and use this approach to deal with the special case of those associated with flocks of quadratic cones of PG(3,K).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b35d534c89c601097022314c07183ab6
https://doi.org/10.1007/bf01221233
https://doi.org/10.1007/bf01221233
Autor:
Stanley E. Payne
Publikováno v:
Journal of Statistical Planning and Inference. 73:197-204
For a generalized quadrangle S with a distinguished point p, let G be a group of collineations acting regularly on the s2t points not collinear with p. Nearly always G has been assumed to fix p linewise. We consider some examples in GQ derived from f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6453ed444c14abf30f08d1355d60967e
https://doi.org/10.1016/s0378-3758(98)00061-5
https://doi.org/10.1016/s0378-3758(98)00061-5
Autor:
Stanley E. Payne, Joseph A. Thas
Publikováno v:
Geometriae Dedicata. 52:227-253
This paper is a survey on the existence and non-existence of ovoids and spreads in the known finite generalized quadrangles. It also contains the following new results. We prove that translation generalized quadrangles of order (s,s 2), satisfying ce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02ac1b0365cae3824a990a1b8a096add
https://doi.org/10.1007/bf01278475
https://doi.org/10.1007/bf01278475