Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Tim Penttila"'
Publikováno v:
Designs, Codes and Cryptography. 91:1475-1485
Inspired by the connection between ovoids and unitals arising from the Buekenhout construction in the André/Bruck-Bose representation of translation planes of dimension at most two over their kernel, and since eggs of PG(4m-1,q), m>=1, are a general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bc302e05616f825a06748dfca532a48
https://doi.org/10.1007/s10623-022-01162-9
https://doi.org/10.1007/s10623-022-01162-9
This volume is the proceedings of a conference on Finite Geometries, Groups, and Computation that took place on September 4-9, 2004, at Pingree Park, Colorado (a campus of Colorado State University). Not accidentally, the conference coincided with th
Autor:
Tim Penttila
Publikováno v:
Designs, Codes and Cryptography. 90:827-834
The uniqueness of the inversive plane of order sixty-four, up to isomorphism, is established. Equivalently, it is shown that every ovoid of $$\mathrm{PG}(3,64)$$ PG ( 3 , 64 ) is an elliptic quadric.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::494793807c8054eded90f56d83dfed90
https://doi.org/10.1007/s10623-022-01014-6
https://doi.org/10.1007/s10623-022-01014-6
Autor:
John Bamberg, Tim Penttila
Publikováno v:
Forum Mathematicum.
H. L. Skala (1992) gave the first elegant first-order axiom system for hyperbolic geometry by replacing Menger’s axiom involving projectivities with the theorems of Pappus and Desargues for the hyperbolic plane. In so doing, Skala showed that hyper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c83369daaf8b60c5252947d426e73ad2
https://doi.org/10.1515/forum-2022-0268
https://doi.org/10.1515/forum-2022-0268
Brown et al. provide a representation of a spread of the Tits quadrangle $T_2(\mathcal O)$, $\mathcal O$ an oval of $\mathrm PG(2,q)$, $q$ even, in terms of a certain family of $q$ ovals of $\mathrm PG(2,q)$. By combining this representation with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44c0a60c31701151e07f2a2a0dd582d9
Autor:
Alessandro Siciliano, Tim Penttila
Publikováno v:
Ars Mathematica Contemporanea. 20:51-68
By using elementary linear algebra methods we exploit properties of the incidence map of certain incidence structures with finite block sizes. We give new and simple proofs of theorems of Kantor and Lehrer, and their infinitary version. Similar resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7a51606dd248c49fabd16204ee90e1a
https://doi.org/10.26493/1855-3974.1996.db7
https://doi.org/10.26493/1855-3974.1996.db7
Autor:
Ferdinand Ihringer, Tim Penttila, Tor Helleseth, Claude Carlet, Lilya Budaghyan, Diana Davidova
Publikováno v:
Finite Fields and Their Applications
Boolean functions, and bent functions in particular, are considered up to so-called EA-equivalence, which is the most general known equivalence relation preserving bentness of functions. However, for a special type of bent functions, so-called Niho b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::895dfc08fc5f334ba83d71ff59a165e2
https://hdl.handle.net/11250/2988034
https://hdl.handle.net/11250/2988034
Autor:
Alessandro Siciliano, Tim Penttila
Publikováno v:
Results in Mathematics. 75
A new and elementary proof of the Artin–Zorn theorem that finite alternative division rings are fields is given. The characterisation of finite fields of Glauberman and Heimbeck is also extended to a broader class of fields, the two subjects being
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4183485a7437bbf6db1a2e2ec08859c9
https://doi.org/10.1007/s00025-020-01249-6
https://doi.org/10.1007/s00025-020-01249-6
Autor:
Tim Penttila, Alessandro Siciliano
Publikováno v:
Mathematical Communications
Volume 25
Issue 1
Volume 25
Issue 1
In the context of configurational characterisations of symmetric projective planes, a new proof of a theorem of Kallaher and Ostrom characterising planes of even order of Lenz-Barlotti type IV.a.2 via Bol conditions is given. In contrast to their pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______951::f0a87826d25553f758b68c720fbe211e
https://hrcak.srce.hr/235528
https://hrcak.srce.hr/235528
Publikováno v:
Journal of Group Theory. 21:1051-1064
We prove that an abstract oval is an abstract conic if and only if all of its involutions are regular and all of its secant lines are Pascalian. In doing so, we provide a new characterisation of the rank 1 projective general linear groups over arbitr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7c38c34acf39d7c26702a4fa34da9b8
https://doi.org/10.1515/jgth-2018-0028
https://doi.org/10.1515/jgth-2018-0028