From semifield flocks to the generalized translation dual of a semifield
نویسندگان
چکیده
منابع مشابه
The six semifield planes associated with a semifield flock
In 1965 Knuth [17] noticed that a finite semifield was determined by a 3-cube array (aijk) and that any permutation of the indices would give another semifield. In this article we explain the geometrical significance of these permutations. It is known that a pair of functions (f, g) where f and g are functions from GF (q) to GF (q) with the property that f and g are linear over some subfield an...
متن کاملA New Semifield Flock
Let K be a quadratic cone of PG(3, q) with vertex v. A flock F of K is a partition of K"[v] into q conics. If all planes containing the elements of the flock F share a common line, then F is called linear. Given a flock F there is a standard construction of a generalized quadrangle Q(F) associated with F ([19]), which is classical if and only if F is a linear flock. Article ID jcta.1998.2933, a...
متن کاملAutotopism groups of cyclic semifield planes
In this article we investigate the autotopism group of the so-called cyclic semifield planes. We show that the group generated by the homology groups of the nuclei is already the full group of autotopisms that are linear with respect to the nuclei. The full autotopism group is also computed with the exception of one special subcase.
متن کاملNew Semifield Planes of order 81 ∗
A finite semifield D is a finite nonassociative ring with identity such that the set D∗ = D \ {0} is closed under the product. From any finite semifield a projective plane can be constructed. In this paper we obtain new semifield planes of order 81 by means of computational methods. These computer-assisted results yield to a complete classification (up to isotopy) of 81-element finite semifields.
متن کاملfrom linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar
chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2017
ISSN: 1781-6475,1781-6475
DOI: 10.2140/iig.2017.15.169