Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Jesse Lansdown"'
Publikováno v:
Bulletin of the London Mathematical Society. 54:1131-1144
Every synchronising permutation group is primitive and of one of three types: affine, almost simple, or diagonal. We exhibit the first known example of a synchronising diagonal type group. More precisely, we show that $\mathrm{PSL}(2,q)\times \mathrm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::492868ab06709c74c920f1a206a7b6eb
https://doi.org/10.1112/blms.12619
https://doi.org/10.1112/blms.12619
Implications of vanishing Krein parameters on Delsarte designs, with applications in finite geometry
Autor:
John Bamberg, Jesse Lansdown
In this paper we show that if $\theta$ is a $T$-design of an association scheme $(\Omega, \mathcal{R})$, and the Krein parameters $q_{i,j}^h$ vanish for some $h \not \in T$ and all $i, j \not \in T$ ($i, j, h \neq 0$), then $\theta$ consists of preci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddf4f9412a1e1f1795c2a0a9bf53eb70
http://arxiv.org/abs/2107.05207
http://arxiv.org/abs/2107.05207
Autor:
Daniel R. Hawtin, Jesse Lansdown
Let $q$ be a prime power and $V\cong{\mathbb F}_q^n$. A $t$-$(n,k,\lambda)_q$ design, or simply a subspace design, is a pair ${\mathcal D}=(V,{\mathcal B})$, where ${\mathcal B}$ is a subset of the set of all $k$-dimensional subspaces of $V$, with th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7347cd10eebaa66daef46821f9f474f2
http://arxiv.org/abs/2102.05142
http://arxiv.org/abs/2102.05142
Autor:
Alice C. Niemeyer, Jesse Lansdown
Publikováno v:
Journal of Combinatorial Theory, Series A. 175:105280
We construct a family of hemisystems of the parabolic quadric Q ( 2 d , q ) , for all ranks d ⩾ 2 and all odd prime powers q, that admit Ω 3 ( q ) ≅ PSL 2 ( q ) . This yields the first known construction for d ⩾ 4 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::928acc14392af8bcd4894ea371101b5e
https://doi.org/10.1016/j.jcta.2020.105280
https://doi.org/10.1016/j.jcta.2020.105280
We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb 34(3):357–373, 2011) by showing that nontrivial m-ovoids of the dual polar spaces $$\mathsf {DQ}(2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5745a68fcbf7ddcbce2866c4483adf50
http://arxiv.org/abs/1612.07187
http://arxiv.org/abs/1612.07187
In Bachmann's Aufbau der Geometrie aus dem Spiegelungsbegriff (1959), it was shown that a finite metric plane is a Desarguesian affine plane of odd order equipped with a perpendicularity relation on lines, and conversely. Sherk (1967) generalised thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9be1fcb53e1c8ef3566a782aa032c31a
http://arxiv.org/abs/1601.07231
http://arxiv.org/abs/1601.07231